Ren, Guangbin; Zhu, Zeping Plemelj projections in discrete quaternionic analysis. (English) Zbl 07522797 Math. Ann. 382, No. 1-2, 975-1025 (2022). MSC: 39A12 39A45 30G25 30G35 42A38 47G10 PDF BibTeX XML Cite \textit{G. Ren} and \textit{Z. Zhu}, Math. Ann. 382, No. 1--2, 975--1025 (2022; Zbl 07522797) Full Text: DOI OpenURL
Alpay, Daniel; Volok, Dan Discrete analytic Schur functions. (English) Zbl 07487905 Proc. Am. Math. Soc. 150, No. 5, 2145-2152 (2022). MSC: 30G25 47B32 PDF BibTeX XML Cite \textit{D. Alpay} and \textit{D. Volok}, Proc. Am. Math. Soc. 150, No. 5, 2145--2152 (2022; Zbl 07487905) Full Text: DOI arXiv OpenURL
Bücking, Ulrike Conformally symmetric triangular lattices and discrete \(\vartheta\)-conformal maps. (English) Zbl 07456793 Int. Math. Res. Not. 2021, No. 24, 18442-18475 (2021). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30C35 30G25 PDF BibTeX XML Cite \textit{U. Bücking}, Int. Math. Res. Not. 2021, No. 24, 18442--18475 (2021; Zbl 07456793) Full Text: DOI arXiv OpenURL
Tham, V. V.; Tran, H. Q.; Tu, T. M. Vibration characteristics of piezoelectric functionally graded carbon nanotube-reinforced composite doubly-curved shells. (English) Zbl 07447516 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 6, 819-840 (2021). MSC: 11C08 30G25 32W50 35R15 65N12 PDF BibTeX XML Cite \textit{V. V. Tham} et al., AMM, Appl. Math. Mech., Engl. Ed. 42, No. 6, 819--840 (2021; Zbl 07447516) Full Text: DOI OpenURL
Bobenko, Alexander I.; Bücking, Ulrike Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere. (English) Zbl 1475.30098 Math. Phys. Anal. Geom. 24, No. 3, Paper No. 23, 30 p. (2021). MSC: 30F10 30G25 65E05 PDF BibTeX XML Cite \textit{A. I. Bobenko} and \textit{U. Bücking}, Math. Phys. Anal. Geom. 24, No. 3, Paper No. 23, 30 p. (2021; Zbl 1475.30098) Full Text: DOI arXiv OpenURL
Lan, Shiyi; Liu, Jinsong Estimate of the rate of global convergence of circle packings. (Chinese. English summary) Zbl 07494910 Sci. Sin., Math. 50, No. 8, 1061-1070 (2020). MSC: 52C26 52C15 30G25 PDF BibTeX XML Cite \textit{S. Lan} and \textit{J. Liu}, Sci. Sin., Math. 50, No. 8, 1061--1070 (2020; Zbl 07494910) Full Text: DOI OpenURL
Boutillier, Cédric (ed.); Ramassamy, Sanjay (ed.); Russkikh, Marianna (ed.) Mini-workshop: Dimers, Ising and spanning trees beyond the critical isoradial case. Abstracts from the mini-workshop held November 15–21, 2020 (online meeting). (English) Zbl 1473.00042 Oberwolfach Rep. 17, No. 4, 1759-1789 (2020). MSC: 00B05 00B25 82-06 82B20 05-06 14H70 52C26 30G25 53A70 13F60 51A20 PDF BibTeX XML Cite \textit{C. Boutillier} (ed.) et al., Oberwolfach Rep. 17, No. 4, 1759--1789 (2020; Zbl 1473.00042) Full Text: DOI OpenURL
Chern, Albert A reflectionless discrete perfectly matched layer. (English) Zbl 1451.65132 J. Comput. Phys. 381, 91-109 (2019). MSC: 65M22 30G25 65E05 35L05 65M06 PDF BibTeX XML Cite \textit{A. Chern}, J. Comput. Phys. 381, 91--109 (2019; Zbl 1451.65132) Full Text: DOI arXiv OpenURL
Cerejeiras, Paula; Kähler, Uwe; Legatiuk, Anastasiia; Legatiuk, Dmitrii Boundary values of discrete monogenic functions over bounded domains in \(\mathbb{R}^3\). (English) Zbl 1427.30071 Alpay, Daniel (ed.) et al., Linear systems, signal processing and hypercomplex analysis. Selected papers of the conference on mathematics, signal processing and linear systems: new problems and directions, Chapman University, Orange, CA, USA, November 14–19, 2017. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 275, 149-165 (2019). MSC: 30G25 39A12 44A15 42A38 PDF BibTeX XML Cite \textit{P. Cerejeiras} et al., Oper. Theory: Adv. Appl. 275, 149--165 (2019; Zbl 1427.30071) Full Text: DOI OpenURL
Leaf, Alexander The Kashaev equation and related recurrences. (English) Zbl 1417.82011 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 012, 64 p. (2019). MSC: 82B20 05E99 13F60 15A15 30G25 52C22 PDF BibTeX XML Cite \textit{A. Leaf}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 012, 64 p. (2019; Zbl 1417.82011) Full Text: DOI arXiv OpenURL
Gu, David; Luo, Feng; Wu, Tianqi Convergence of discrete conformal geometry and computation of uniformization maps. (English) Zbl 1418.30041 Asian J. Math. 23, No. 1, 21-34 (2019). MSC: 30G25 30F99 PDF BibTeX XML Cite \textit{D. Gu} et al., Asian J. Math. 23, No. 1, 21--34 (2019; Zbl 1418.30041) Full Text: DOI OpenURL
Chelkak, Dmitry Planar Ising model at criticality: state-of-the-art and perspectives. (English) Zbl 1453.82006 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2801-2828 (2018). MSC: 82B20 82B27 30G25 60J67 81T40 35Q82 PDF BibTeX XML Cite \textit{D. Chelkak}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2801--2828 (2018; Zbl 1453.82006) Full Text: DOI arXiv OpenURL
Dynnikov, I. A. Bounded discrete holomorphic functions on the hyperbolic plane. (English. Russian original) Zbl 1434.30012 Proc. Steklov Inst. Math. 302, 186-197 (2018); translation from Tr. Mat. Inst. Steklova 302, 202-213 (2018). MSC: 30G25 PDF BibTeX XML Cite \textit{I. A. Dynnikov}, Proc. Steklov Inst. Math. 302, 186--197 (2018; Zbl 1434.30012); translation from Tr. Mat. Inst. Steklova 302, 202--213 (2018) Full Text: DOI OpenURL
Koca, Kerim; Gençtürk, İlker; Aydin, Mustafa Complex line \(q\)-integrals and \(q\)-Green’s formula on the plane. (English) Zbl 1438.05020 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 64, No. 1, 27-45 (2018). MSC: 05A30 30G25 PDF BibTeX XML Cite \textit{K. Koca} et al., An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 64, No. 1, 27--45 (2018; Zbl 1438.05020) OpenURL
Legatiuk, Anastasiia; Gürlebeck, Klaus; Hommel, Angela The discrete Borel-Pompeiu formula on a rectangular lattice. (English) Zbl 1394.39005 Adv. Appl. Clifford Algebr. 28, No. 3, Paper No. 69, 22 p. (2018). MSC: 39A12 39A45 30G25 31C20 PDF BibTeX XML Cite \textit{A. Legatiuk} et al., Adv. Appl. Clifford Algebr. 28, No. 3, Paper No. 69, 22 p. (2018; Zbl 1394.39005) Full Text: DOI OpenURL
Bücking, Ulrike \(C^\infty \)-convergence of conformal mappings for conformally equivalent triangular lattices. (English) Zbl 1398.30029 Result. Math. 73, No. 2, Paper No. 84, 21 p. (2018). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30G25 30E10 52C26 PDF BibTeX XML Cite \textit{U. Bücking}, Result. Math. 73, No. 2, Paper No. 84, 21 p. (2018; Zbl 1398.30029) Full Text: DOI arXiv OpenURL
Gu, Xianfeng David; Luo, Feng; Sun, Jian; Wu, Tianqi A discrete uniformization theorem for polyhedral surfaces. (English) Zbl 1396.30008 J. Differ. Geom. 109, No. 2, 223-256 (2018). Reviewer: Rubén A. Hidalgo (Temuco) MSC: 30F10 30G25 52B70 57Q15 58E30 PDF BibTeX XML Cite \textit{X. D. Gu} et al., J. Differ. Geom. 109, No. 2, 223--256 (2018; Zbl 1396.30008) Full Text: DOI arXiv Euclid OpenURL
Daghighi, Abtin Polyanalytic functions on subsets of \(\mathbb Z[i]\). (English) Zbl 06847612 Aust. J. Math. Anal. Appl. 15, No. 1, Article No. 4, 26 p. (2018). MSC: 47B39 30G25 39A14 39A12 PDF BibTeX XML Cite \textit{A. Daghighi}, Aust. J. Math. Anal. Appl. 15, No. 1, Article No. 4, 26 p. (2018; Zbl 06847612) Full Text: Link OpenURL
Bobenko, Alexander I.; Sridhar, Ananth Abelian Higgs vortices and discrete conformal maps. (English) Zbl 1395.30047 Lett. Math. Phys. 108, No. 2, 249-260 (2018). MSC: 30G25 30C35 52C26 53C80 70S20 PDF BibTeX XML Cite \textit{A. I. Bobenko} and \textit{A. Sridhar}, Lett. Math. Phys. 108, No. 2, 249--260 (2018; Zbl 1395.30047) Full Text: DOI arXiv OpenURL
Ren, Guangbin; Zhu, Zeping Discrete complex analysis in split quaternions. (English) Zbl 1387.30069 Complex Anal. Oper. Theory 12, No. 2, 415-438 (2018). MSC: 30G25 30G35 PDF BibTeX XML Cite \textit{G. Ren} and \textit{Z. Zhu}, Complex Anal. Oper. Theory 12, No. 2, 415--438 (2018; Zbl 1387.30069) Full Text: DOI OpenURL
Koca, Kerim; Gençtürk, İlker; Aydin, Mustafa \(q\)-Greens’s formula on the complex plane in the sense of Harman. (English) Zbl 1413.05028 Creat. Math. Inform. 26, No. 3, 309-320 (2017). MSC: 05A30 30G25 PDF BibTeX XML Cite \textit{K. Koca} et al., Creat. Math. Inform. 26, No. 3, 309--320 (2017; Zbl 1413.05028) OpenURL
Volland, Dominic A discrete Hilbert transform with circle packings. (English) Zbl 1393.30036 BestMasters. Wiesbaden: Springer Spektrum; München: TU München (Elite Bachelor TopMath Thesis) (ISBN 978-3-658-20456-3/pbk; 978-3-658-20457-0/ebook). xi, 102 p. (2017). MSC: 30G25 30E25 52C26 PDF BibTeX XML Cite \textit{D. Volland}, A discrete Hilbert transform with circle packings. Wiesbaden: Springer Spektrum; München: TU München (Elite Bachelor TopMath Thesis) (2017; Zbl 1393.30036) Full Text: DOI OpenURL
Bobenko, Alexander I.; Günther, Felix Discrete Riemann surfaces based on quadrilateral cellular decompositions. (English) Zbl 1375.30063 Adv. Math. 311, 885-932 (2017). MSC: 30G25 30F30 PDF BibTeX XML Cite \textit{A. I. Bobenko} and \textit{F. Günther}, Adv. Math. 311, 885--932 (2017; Zbl 1375.30063) Full Text: DOI arXiv OpenURL
Lan, Shi-Yi; Dai, Dao-Qing Approximation of conformal welding for finitely connected regions. (English) Zbl 1373.30010 Complex Var. Elliptic Equ. 62, No. 8, 1117-1134 (2017). MSC: 30C35 30G25 52C15 30C62 PDF BibTeX XML Cite \textit{S.-Y. Lan} and \textit{D.-Q. Dai}, Complex Var. Elliptic Equ. 62, No. 8, 1117--1134 (2017; Zbl 1373.30010) Full Text: DOI OpenURL
Egorov, Dima V. The Riemann-Roch theorem for the Dynnikov-Novikov discrete complex analysis. (English. Russian original) Zbl 1369.30051 Sib. Math. J. 58, No. 1, 78-79 (2017); translation from Sib. Mat. Zh. 58, No. 1, 104-106 (2017). MSC: 30G25 39A12 30F99 PDF BibTeX XML Cite \textit{D. V. Egorov}, Sib. Math. J. 58, No. 1, 78--79 (2017; Zbl 1369.30051); translation from Sib. Mat. Zh. 58, No. 1, 104--106 (2017) Full Text: DOI OpenURL
Abakumov, Evgeny; Nestoridis, Vassili; Picardello, Massimo A. Universal properties of harmonic functions on trees. (English) Zbl 1358.31001 J. Math. Anal. Appl. 445, No. 2, 1181-1187 (2017). MSC: 31C20 30G25 PDF BibTeX XML Cite \textit{E. Abakumov} et al., J. Math. Anal. Appl. 445, No. 2, 1181--1187 (2017; Zbl 1358.31001) Full Text: DOI OpenURL
Meng, Ting Wei; Choi, Gary Pui-Tung; Lui, Lok Ming TEMPO: feature-endowed Teichmüller extremal mappings of point clouds. (English) Zbl 1369.30046 SIAM J. Imaging Sci. 9, No. 4, 1922-1962 (2016). MSC: 30F60 30G25 PDF BibTeX XML Cite \textit{T. W. Meng} et al., SIAM J. Imaging Sci. 9, No. 4, 1922--1962 (2016; Zbl 1369.30046) Full Text: DOI arXiv OpenURL
Ashe, James; Crane, Edward; Stephenson, Kenneth Circle packing with generalized branching. (English) Zbl 1365.52026 J. Anal. 24, No. 2, 251-276 (2016). MSC: 52C26 30G25 PDF BibTeX XML Cite \textit{J. Ashe} et al., J. Anal. 24, No. 2, 251--276 (2016; Zbl 1365.52026) Full Text: DOI arXiv OpenURL
Bobenko, Alexander I.; Its, Alexander The asymptotic behavior of the discrete holomorphic map \(Z^a\) via the Riemann-Hilbert method. (English) Zbl 1354.30041 Duke Math. J. 165, No. 14, 2607-2682 (2016). MSC: 30G25 30C20 PDF BibTeX XML Cite \textit{A. I. Bobenko} and \textit{A. Its}, Duke Math. J. 165, No. 14, 2607--2682 (2016; Zbl 1354.30041) Full Text: DOI arXiv Euclid OpenURL
Lam, Wai Yeung; Pinkall, Ulrich Holomorphic vector fields and quadratic differentials on planar triangular meshes. (English) Zbl 1353.30048 Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer (ISBN 978-3-662-50446-8/hbk; 978-3-662-50447-5/ebook). 241-265 (2016). MSC: 30G25 31C20 PDF BibTeX XML Cite \textit{W. Y. Lam} and \textit{U. Pinkall}, in: Advances in discrete differential geometry. Berlin: Springer. 241--265 (2016; Zbl 1353.30048) Full Text: DOI arXiv OpenURL
Knöppel, Felix; Pinkall, Ulrich Complex line bundles over simplicial complexes and their applications. (English) Zbl 1353.31009 Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer (ISBN 978-3-662-50446-8/hbk; 978-3-662-50447-5/ebook). 197-239 (2016). MSC: 31C25 30G25 PDF BibTeX XML Cite \textit{F. Knöppel} and \textit{U. Pinkall}, in: Advances in discrete differential geometry. Berlin: Springer. 197--239 (2016; Zbl 1353.31009) Full Text: DOI arXiv OpenURL
Bornemann, Folkmar; Its, Alexander; Olver, Sheehan; Wechslberger, Georg Numerical methods for the discrete map \(Z^a\). (English) Zbl 1353.30047 Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer (ISBN 978-3-662-50446-8/hbk; 978-3-662-50447-5/ebook). 151-176 (2016). MSC: 30G25 PDF BibTeX XML Cite \textit{F. Bornemann} et al., in: Advances in discrete differential geometry. Berlin: Springer. 151--176 (2016; Zbl 1353.30047) Full Text: DOI arXiv OpenURL
Bücking, Ulrike Approximation of conformal mappings using conformally equivalent triangular lattices. (English) Zbl 1355.30006 Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer (ISBN 978-3-662-50446-8/hbk; 978-3-662-50447-5/ebook). 133-149 (2016). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30C20 30C30 30G25 PDF BibTeX XML Cite \textit{U. Bücking}, in: Advances in discrete differential geometry. Berlin: Springer. 133--149 (2016; Zbl 1355.30006) Full Text: DOI arXiv OpenURL
Bobenko, Alexander I.; Günther, Felix Discrete complex analysis on planar quad-graphs. (English) Zbl 1353.30046 Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer (ISBN 978-3-662-50446-8/hbk; 978-3-662-50447-5/ebook). 57-132 (2016). MSC: 30G25 31C20 PDF BibTeX XML Cite \textit{A. I. Bobenko} and \textit{F. Günther}, in: Advances in discrete differential geometry. Berlin: Springer. 57--132 (2016; Zbl 1353.30046) Full Text: DOI arXiv OpenURL
Bobenko, Alexander I.; Sechelmann, Stefan; Springborn, Boris Discrete conformal maps: boundary value problems, circle domains, Fuchsian and Schottky uniformization. (English) Zbl 1354.30042 Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer (ISBN 978-3-662-50446-8/hbk; 978-3-662-50447-5/ebook). 1-56 (2016). MSC: 30G25 30C20 PDF BibTeX XML Cite \textit{A. I. Bobenko} et al., in: Advances in discrete differential geometry. Berlin: Springer. 1--56 (2016; Zbl 1354.30042) Full Text: DOI OpenURL
Bobenko, Alexander; Skopenkov, Mikhail Discrete Riemann surfaces: linear discretization and its convergence. (English) Zbl 1358.30020 J. Reine Angew. Math. 720, 217-250 (2016). Reviewer: Oleg Karpenkov (Liverpool) MSC: 30G25 39A12 31C20 PDF BibTeX XML Cite \textit{A. Bobenko} and \textit{M. Skopenkov}, J. Reine Angew. Math. 720, 217--250 (2016; Zbl 1358.30020) Full Text: DOI arXiv OpenURL
Laine, Ilpo; Liu, Kai; Tohge, Kazuya Tropical variants of some complex analysis results. (English) Zbl 1359.30052 Ann. Acad. Sci. Fenn., Math. 41, No. 2, 923-946 (2016). Reviewer: Risto Korhonen (Joensuu) MSC: 30G25 39A12 30D30 PDF BibTeX XML Cite \textit{I. Laine} et al., Ann. Acad. Sci. Fenn., Math. 41, No. 2, 923--946 (2016; Zbl 1359.30052) Full Text: DOI arXiv OpenURL
Ando, Hisashi; Hay, Mike; Kajiwara, Kenji; Masuda, Tetsu Explicit formula and extension of the discrete power function associated with the circle patterns of Schramm type. (English) Zbl 1420.68221 Ochiai, Hiroyuki (ed.) et al., Mathematical progress in expressive image synthesis II. Extended and selected results from the symposium MEIS 2014, Fukuoka, Japan, November 12–14, 2014. Tokyo: Springer. Math. Ind. (Tokyo) 18, 19-31 (2015). MSC: 68U05 30G25 52C26 PDF BibTeX XML Cite \textit{H. Ando} et al., Math. Ind. (Tokyo) 18, 19--31 (2015; Zbl 1420.68221) Full Text: DOI OpenURL
Sun, Xidong; Liu, Baifeng; Li, Xiliang; Han, Yuliang Discrete analytic almost periodic functions in a strip. (English) Zbl 1340.30183 Ann. Appl. Math. 31, No. 2, 200-211 (2015). MSC: 30G25 PDF BibTeX XML Cite \textit{X. Sun} et al., Ann. Appl. Math. 31, No. 2, 200--211 (2015; Zbl 1340.30183) OpenURL
Xi, Dongmeng; Lan, Shiyi A proof of Andreev-Thurston theorems for circle patterns via the energy function approach. (Chinese. English summary) Zbl 1340.51008 Chin. Ann. Math., Ser. A 36, No. 3, 313-324 (2015). MSC: 51M15 51M10 30G25 51M16 52C26 PDF BibTeX XML Cite \textit{D. Xi} and \textit{S. Lan}, Chin. Ann. Math., Ser. A 36, No. 3, 313--324 (2015; Zbl 1340.51008) Full Text: DOI OpenURL
Hersonsky, Sa’ar Discrete harmonic maps and convergence to conformal maps. I: Combinatorial harmonic coordinates. (English) Zbl 1319.30037 Comment. Math. Helv. 90, No. 2, 325-364 (2015). MSC: 30G25 30C35 PDF BibTeX XML Cite \textit{S. Hersonsky}, Comment. Math. Helv. 90, No. 2, 325--364 (2015; Zbl 1319.30037) Full Text: DOI arXiv OpenURL
Guo, Xiufeng; Lan, Shiyi Approximation of analytic functions with critical points by circle patterns. (Chinese. English summary) Zbl 1324.30096 Appl. Math., Ser. A (Chin. Ed.) 29, No. 3, 352-360 (2014). MSC: 30G25 30E10 30C62 52C26 PDF BibTeX XML Cite \textit{X. Guo} and \textit{S. Lan}, Appl. Math., Ser. A (Chin. Ed.) 29, No. 3, 352--360 (2014; Zbl 1324.30096) OpenURL
Hommel, Angela A discrete theorem of Goursat. (English) Zbl 1310.74005 Adv. Appl. Clifford Algebr. 24, No. 4, 1039-1045 (2014). MSC: 74B05 39A12 30G25 31A30 PDF BibTeX XML Cite \textit{A. Hommel}, Adv. Appl. Clifford Algebr. 24, No. 4, 1039--1045 (2014; Zbl 1310.74005) Full Text: DOI OpenURL
Bernstein, Swanhild (ed.); Kähler, Uwe (ed.); Sabadini, Irene (ed.); Sommen, Frank (ed.) Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5–9, 2013. (English) Zbl 1300.30002 Trends in Mathematics. New York, NY: Birkhäuser/Springer (ISBN 978-3-319-08770-2/hbk; 978-3-319-08771-9/ebook). viii, 227 p. (2014). MSC: 30-06 30G35 30G25 32A50 17B10 47C15 00B25 PDF BibTeX XML Cite \textit{S. Bernstein} (ed.) et al., Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5--9, 2013. New York, NY: Birkhäuser/Springer (2014; Zbl 1300.30002) Full Text: DOI OpenURL
Ando, Hisashi; Hay, Mike; Kajiwara, Kenji; Masuda, Tetsu An explicit formula for the discrete power function associated with circle patterns of Schramm type. (English) Zbl 1293.30087 Funkc. Ekvacioj, Ser. Int. 57, No. 1, 1-41 (2014). MSC: 30G25 52C26 PDF BibTeX XML Cite \textit{H. Ando} et al., Funkc. Ekvacioj, Ser. Int. 57, No. 1, 1--41 (2014; Zbl 1293.30087) Full Text: DOI arXiv OpenURL
Bobenko, Alexander I.; Günther, Felix Discrete complex analysis – the medial graph approach. (English) Zbl 1474.39009 Actes Rencontres C.I.R.M. 3, No. 1, 159-169 (2013). MSC: 39A12 30G25 PDF BibTeX XML Cite \textit{A. I. Bobenko} and \textit{F. Günther}, Actes Rencontres C.I.R.M. 3, No. 1, 159--169 (2013; Zbl 1474.39009) Full Text: DOI Link OpenURL
Alpay, Daniel; Jorgensen, Palle; Seager, Ron; Volok, Dan On discrete analytic functions: products, rational functions and reproducing kernels. (English) Zbl 1295.30107 J. Appl. Math. Comput. 41, No. 1-2, 393-426 (2013). MSC: 30G25 PDF BibTeX XML Cite \textit{D. Alpay} et al., J. Appl. Math. Comput. 41, No. 1--2, 393--426 (2013; Zbl 1295.30107) Full Text: DOI arXiv Link OpenURL
Stephenson, Kenneth Circle packing. (English) Zbl 1320.52026 Brilleslyper, Michael A. et al., Explorations in complex analysis. Washington, DC: Mathematical Association of America (MAA) (ISBN 978-0-88385-778-6/hbk; 978-1-61444-108-3/ebook). Classroom Resource Materials, 317-344 (2012). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 52C26 30C20 30G25 PDF BibTeX XML Cite \textit{K. Stephenson}, in: Explorations in complex analysis. Washington, DC: Mathematical Association of America (MAA). 317--344 (2012; Zbl 1320.52026) OpenURL
Bauer, David; Stephenson, Kenneth; Wegert, Elias Circle packings as differentiable manifolds. (English) Zbl 1258.52011 Beitr. Algebra Geom. 53, No. 2, 399-420 (2012). MSC: 52C26 53A30 30G25 PDF BibTeX XML Cite \textit{D. Bauer} et al., Beitr. Algebra Geom. 53, No. 2, 399--420 (2012; Zbl 1258.52011) Full Text: DOI OpenURL
Huang, Xiao Jun; Wang, Zi Peng A note on the uniqueness of Koebe-Andreev-Thurston theorem. (English) Zbl 1255.52017 Acta Math. Sin., Engl. Ser. 28, No. 7, 1469-1474 (2012). MSC: 52C26 30C35 30G25 PDF BibTeX XML Cite \textit{X. J. Huang} and \textit{Z. P. Wang}, Acta Math. Sin., Engl. Ser. 28, No. 7, 1469--1474 (2012; Zbl 1255.52017) Full Text: DOI OpenURL
Dehesa, J. S.; Sánchez-Moreno, P.; Yáñez, R. J. Relative Fisher information of discrete classical orthogonal polynomials. (English) Zbl 1259.94033 J. Difference Equ. Appl. 18, No. 3, 489-508 (2012). MSC: 94A17 94A15 33C45 30G25 33D45 94A11 PDF BibTeX XML Cite \textit{J. S. Dehesa} et al., J. Difference Equ. Appl. 18, No. 3, 489--508 (2012; Zbl 1259.94033) Full Text: DOI arXiv OpenURL
Wegert, Elias; Roth, Oliver; Kraus, Daniela On Beurling’s boundary value problem in circle packing. (English) Zbl 1241.30012 Complex Var. Elliptic Equ. 57, No. 2-4, 397-410 (2012). Reviewer: Chuangan Hu (Palo Alto) MSC: 30E25 30G25 PDF BibTeX XML Cite \textit{E. Wegert} et al., Complex Var. Elliptic Equ. 57, No. 2--4, 397--410 (2012; Zbl 1241.30012) Full Text: DOI OpenURL
Graev, M. I.; Koganov, A. V. Averaging operator on countable directed graphs and its inversion formula. (English. Russian original) Zbl 1272.30067 Dokl. Math. 83, No. 2, 250-253 (2011); translation from Dokl. Akad. Nauk 437, No. 6, 734-737 (2011). MSC: 30G25 05C99 PDF BibTeX XML Cite \textit{M. I. Graev} and \textit{A. V. Koganov}, Dokl. Math. 83, No. 2, 250--253 (2011; Zbl 1272.30067); translation from Dokl. Akad. Nauk 437, No. 6, 734--737 (2011) Full Text: DOI OpenURL
Kapcak, Sinan; Ufuktepe, Ünal Generalization of analytic functions. (English) Zbl 1225.30024 Appl. Math. Comput. 218, No. 3, 851-855 (2011). MSC: 30G25 PDF BibTeX XML Cite \textit{S. Kapcak} and \textit{Ü. Ufuktepe}, Appl. Math. Comput. 218, No. 3, 851--855 (2011; Zbl 1225.30024) Full Text: DOI OpenURL
Smirnov, Stanislav Discrete complex analysis and probability. (English) Zbl 1251.30049 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-30-4/set; 978-81-85931-08-3/hbk; 978-981-4324-31-1/hbk; 978-981-4324-35-9/ebook). 595-621 (2011). Reviewer: Utkir Rozikov (Tashkent) MSC: 30G25 05C81 60K35 82B20 PDF BibTeX XML Cite \textit{S. Smirnov}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 595--621 (2011; Zbl 1251.30049) Full Text: arXiv Link OpenURL
Novikov, S. P. New discretization of complex analysis: the Euclidean and hyperbolic planes. (English) Zbl 1296.30057 Proc. Steklov Inst. Math. 273, 238-251 (2011); reprinted from Tr. Mat. Inst. Steklova 273, 257-270 (2011). MSC: 30G25 30F45 37B10 PDF BibTeX XML Cite \textit{S. P. Novikov}, Proc. Steklov Inst. Math. 273, 238--251 (2011; Zbl 1296.30057) Full Text: DOI arXiv OpenURL
Bory-Reyes, Juan; Sommen, Frank A discrete Bochner-Martinelli formula. (English) Zbl 1222.30042 Complex Anal. Oper. Theory 5, No. 1, 83-95 (2011). Reviewer: Nele De Schepper (Gent) MSC: 30G35 30G25 PDF BibTeX XML Cite \textit{J. Bory-Reyes} and \textit{F. Sommen}, Complex Anal. Oper. Theory 5, No. 1, 83--95 (2011; Zbl 1222.30042) Full Text: DOI OpenURL
Danilov, O. A. Decomposition of discrete analytic functions in a Taylor series. (Russian) Zbl 1274.32002 Mat. Zamet. YAGU 17, No. 2, 21-32 (2010). MSC: 32A05 30G25 39A12 PDF BibTeX XML Cite \textit{O. A. Danilov}, Mat. Zamet. YAGU 17, No. 2, 21--32 (2010; Zbl 1274.32002) Full Text: Link OpenURL
Seaborn, Joseph; Mummert, Philip A complex finite calculus. (English) Zbl 1203.30049 Involve 3, No. 3, 273-287 (2010). MSC: 30G25 39A12 PDF BibTeX XML Cite \textit{J. Seaborn} and \textit{P. Mummert}, Involve 3, No. 3, 273--287 (2010; Zbl 1203.30049) Full Text: DOI OpenURL
Huang, Xiaojun; Liu, Jinsong; Shen, Liang Schwarz’s lemma for the circle packings with the general combinatorics. (English) Zbl 1189.52018 Sci. China, Math. 53, No. 2, 275-288 (2010). MSC: 52C15 30C35 30C62 30G25 30C80 PDF BibTeX XML Cite \textit{X. Huang} et al., Sci. China, Math. 53, No. 2, 275--288 (2010; Zbl 1189.52018) Full Text: DOI OpenURL
Danilov, O. A.; Mednykh, A. D. Discrete analytic functions of several variables and the Taylor expansion. (Russian. English summary) Zbl 1249.32001 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 9, No. 2, 38-46 (2009). MSC: 32A05 30G25 39A12 PDF BibTeX XML Cite \textit{O. A. Danilov} and \textit{A. D. Mednykh}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 9, No. 2, 38--46 (2009; Zbl 1249.32001) OpenURL
Sánchez-Moreno, P.; Yáñez, R. J.; Dehesa, J. S. Discrete densities and Fisher information. (English) Zbl 1173.94402 Bohner, Martin (ed.) et al., Difference equations and applications. Proceedings of the fourteenth international conference on difference equations and applications (ICDEA), Istanbul, Turkey, July 21–25, 2008. Istanbul: Bahçeşehir University Press (ISBN 978-975-6437-80-3/pbk). 291-298 (2009). MSC: 94A15 94A17 30G25 PDF BibTeX XML Cite \textit{P. Sánchez-Moreno} et al., in: Difference equations and applications. Proceedings of the fourteenth international conference on difference equations and applications (ICDEA), Istanbul, Turkey, July 21--25, 2008. Istanbul: Bahçeşehir University Press. 291--298 (2009; Zbl 1173.94402) OpenURL
Danilov, O. A. Lagrange interpolation formula for discrete analytic functions. (Russian. English summary) Zbl 1249.30130 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 8, No. 4, 33-39 (2008). MSC: 30G25 39A12 PDF BibTeX XML Cite \textit{O. A. Danilov}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 8, No. 4, 33--39 (2008; Zbl 1249.30130) OpenURL
Bücking, Ulrike Approximation of conformal mappings by circle patterns. (English) Zbl 1151.52018 Geom. Dedicata 137, 163-197 (2008). MSC: 52C26 30G25 30E10 52C23 PDF BibTeX XML Cite \textit{U. Bücking}, Geom. Dedicata 137, 163--197 (2008; Zbl 1151.52018) Full Text: DOI arXiv OpenURL
Suris, Yuri B. The discrete Green’s function. (English) Zbl 1230.30030 Bobenko, Alexander I. (ed.) et al., Discrete differential geometry. Basel: Birkhäuser (ISBN 978-3-7643-8620-7/pbk). Oberwolfach Seminars 38, 117-133 (2008). MSC: 30G25 PDF BibTeX XML Cite \textit{Y. B. Suris}, Oberwolfach Semin. 38, 117--133 (2008; Zbl 1230.30030) OpenURL
Felipe, Raúl; Arroyo, Mauricio García The discrete Szegö kernel. (English) Zbl 1165.30027 J. Difference Equ. Appl. 14, No. 4, 367-380 (2008). Reviewer: Subhas S. Bhoosnurmath (Dharwad) MSC: 30G25 30C40 32A25 31C20 PDF BibTeX XML Cite \textit{R. Felipe} and \textit{M. G. Arroyo}, J. Difference Equ. Appl. 14, No. 4, 367--380 (2008; Zbl 1165.30027) Full Text: DOI OpenURL
Bücking, Ulrike Approximation of conformal mappings by circle patterns and discrete minimal surfaces. (English) Zbl 1244.05001 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). iv, 150 p. (2007). MSC: 05-02 05C10 05C62 30G25 30E10 52C26 53A10 PDF BibTeX XML Cite \textit{U. Bücking}, Approximation of conformal mappings by circle patterns and discrete minimal surfaces. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2007; Zbl 1244.05001) Full Text: Link OpenURL
Mercat, Christian Discrete Riemann surfaces. (English) Zbl 1136.30315 Papadopoulos, Athanase (ed.), Handbook of Teichmüller theory. Volume I. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-029-6/hbk). IRMA Lectures in Mathematics and Theoretical Physics 11, 541-575 (2007). MSC: 30G25 52C99 30F10 PDF BibTeX XML Cite \textit{C. Mercat}, IRMA Lect. Math. Theor. Phys. 11, 541--575 (2007; Zbl 1136.30315) Full Text: arXiv OpenURL
Lan, Shi-Yi; Dai, Dao-Qing Variational principles for branched circle patterns. (English) Zbl 1118.52025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 2, 498-511 (2007). Reviewer: Jan Kurek (Lublin) MSC: 52C26 53C44 30G25 PDF BibTeX XML Cite \textit{S.-Y. Lan} and \textit{D.-Q. Dai}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 2, 498--511 (2007; Zbl 1118.52025) Full Text: DOI OpenURL
Faustino, N.; Kähler, U. Fischer decomposition for difference Dirac operators. (English) Zbl 1116.15023 Adv. Appl. Clifford Algebr. 17, No. 1, 37-58 (2007). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 15A66 30G35 30G25 39A12 39A70 PDF BibTeX XML Cite \textit{N. Faustino} and \textit{U. Kähler}, Adv. Appl. Clifford Algebr. 17, No. 1, 37--58 (2007; Zbl 1116.15023) Full Text: DOI arXiv OpenURL
Bohner, Martin; Guseinov, Gusein Sh. An introduction to complex functions on products of two time scales. (English) Zbl 1105.30034 J. Difference Equ. Appl. 12, No. 3-4, 369-384 (2006). Reviewer: Vladimir Mityushev (Kraków) MSC: 30G25 39A10 PDF BibTeX XML Cite \textit{M. Bohner} and \textit{G. Sh. Guseinov}, J. Difference Equ. Appl. 12, No. 3--4, 369--384 (2006; Zbl 1105.30034) Full Text: DOI OpenURL
Kiselman, Christer O. Functions on discrete sets holomorphic in the sense of Isaacs, or monodiffric functions of the first kind. (English) Zbl 1129.30320 Sci. China, Ser. A 48, Suppl., 86-96 (2005). MSC: 30G25 PDF BibTeX XML Cite \textit{C. O. Kiselman}, Sci. China, Ser. A 48, 86--96 (2005; Zbl 1129.30320) Full Text: DOI OpenURL
Bobenko, Alexander I.; Mercat, Christian; Suris, Yuri B. Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function. (English) Zbl 1099.37054 J. Reine Angew. Math. 583, 117-161 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K25 30G25 PDF BibTeX XML Cite \textit{A. I. Bobenko} et al., J. Reine Angew. Math. 583, 117--161 (2005; Zbl 1099.37054) Full Text: DOI arXiv Link OpenURL
Matthes, D. Convergence in discrete Cauchy problems and applications to circle patterns. (English) Zbl 1128.30013 Conform. Geom. Dyn. 9, 1-23 (2005). MSC: 30G25 35A10 52C15 PDF BibTeX XML Cite \textit{D. Matthes}, Conform. Geom. Dyn. 9, 1--23 (2005; Zbl 1128.30013) Full Text: DOI OpenURL
Musayev, Kamal M.; Gasanova, Tamilla Kh. On uniform approximations of generalized analytical functions by generalized polynomials. (English) Zbl 1071.30045 Trans. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 24, No. 7, Math. Mech., 155-160 (2004). MSC: 30G25 PDF BibTeX XML Cite \textit{K. M. Musayev} and \textit{T. Kh. Gasanova}, Trans. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 24, No. 7, Math. Mech., 155--160 (2004; Zbl 1071.30045) OpenURL
Gürlebeck, K.; Hommel, A. Discrete Vekua equations with constant coefficients in the complex and quaternionic case. (English) Zbl 1071.30044 Bull. Belg. Math. Soc. - Simon Stevin 11, No. 5, 689-703 (2004). Reviewer: Klaus Habetha (Aachen) MSC: 30G25 30G20 30G35 39A10 PDF BibTeX XML Cite \textit{K. Gürlebeck} and \textit{A. Hommel}, Bull. Belg. Math. Soc. - Simon Stevin 11, No. 5, 689--703 (2004; Zbl 1071.30044) OpenURL
Gürlebeck, Klaus; Hommel, Angela On discrete Stokes and Navier-Stokes equations in the plane. (English) Zbl 1075.30022 Abłamowicz, Rafał (ed.), Clifford algebras. Applications to mathematics, physics, and engineering. Papers from the 6th international conference on Clifford algebras and their applications in mathematical physics, Cookeville, TN, USA, May 20–25, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3525-4/hbk). Progress in Mathematical Physics 34, 35-58 (2004). Reviewer: Zbigniew Binderman (Warszawa) MSC: 30G25 31C20 PDF BibTeX XML Cite \textit{K. Gürlebeck} and \textit{A. Hommel}, Prog. Math. Phys. 34, 35--58 (2004; Zbl 1075.30022) OpenURL
Mercat, Christian Exponentials form a basis of discrete holomorphic functions on a compact. (English) Zbl 1080.30042 Bull. Soc. Math. Fr. 132, No. 2, 305-326 (2004). MSC: 30G25 52C26 31C20 39A12 PDF BibTeX XML Cite \textit{C. Mercat}, Bull. Soc. Math. Fr. 132, No. 2, 305--326 (2004; Zbl 1080.30042) Full Text: DOI arXiv OpenURL
Hommel, Angela Construction of a right inverse operator to the discrete Cauchy-Riemann operator. (English) Zbl 1284.30042 Begehr, Heinrich G. (ed.) et al., Progress in analysis. Vol. I, II. Proceedings of the 3rd international congress of the International Society for Analysis, its Applications and Computation (ISAAC), Berlin, Germany, August 20–25, 2001. River Edge, NJ: World Scientific (ISBN 981-238-572-X/set; 981-238-968-7/v.1; 981-238-967-9/v.2). 367-374 (2003). MSC: 30G25 30G20 35C15 PDF BibTeX XML Cite \textit{A. Hommel}, in: Progress in analysis. Vol. I, II. Proceedings of the 3rd international congress of the International Society for Analysis, its Applications and Computation (ISAAC), Berlin, Germany, August 20--25, 2001. River Edge, NJ: World Scientific. 367--374 (2003; Zbl 1284.30042) OpenURL
Gürlebeck, Klaus; Hommel, Angela Finite difference Cauchy-Riemann operators and their fundamental solutions in the complex case. (English) Zbl 1049.30031 Böttcher, Albrecht (ed.) et al., Singular integral operators, factorization and applications. Proceedings of the 12th international workshop on operator theory and applications, IWOTA 2000, Faro, Portugal, September 12–15, 2000. Basel: Birkhäuser (ISBN 3-7643-6947-7/hbk). Oper. Theory, Adv. Appl. 142, 101-115 (2003). Reviewer: Sergei V. Rogosin (Minsk) MSC: 30G25 39A70 PDF BibTeX XML Cite \textit{K. Gürlebeck} and \textit{A. Hommel}, in: Singular integral operators, factorization and applications. Proceedings of the 12th international workshop on operator theory and applications, IWOTA 2000, Faro, Portugal, September 12--15, 2000. Basel: Birkhäuser. 101--115 (2003; Zbl 1049.30031) OpenURL
Benjamini, Itai; Lovász, László Harmonic and analytic functions on graphs. (English) Zbl 1028.31005 J. Geom. 76, No. 1-2, 3-15 (2003). Reviewer: Sophia L.Kalpazidou (Thessaloniki) MSC: 31C20 30G25 05C99 PDF BibTeX XML Cite \textit{I. Benjamini} and \textit{L. Lovász}, J. Geom. 76, No. 1--2, 3--15 (2003; Zbl 1028.31005) Full Text: DOI OpenURL
Stephenson, Kenneth Circle packing and discrete analytic function theory. (English) Zbl 1067.30086 Kühnau, R. (ed.), Handbook of complex analysis: geometric function theory. Volume 1. Amsterdam: North Holland (ISBN 0-444-82845-1/hbk ). 333-370 (2002). MSC: 30G25 30C35 52C26 30-04 PDF BibTeX XML Cite \textit{K. Stephenson}, in: Handbook of complex analysis: geometric function theory. Volume 1. Amsterdam: North Holland. 333--370 (2002; Zbl 1067.30086) OpenURL
Tyurikov, E. V. Linearization in the theory of non-linear problems of analytical functions conjugation. (Russian) Zbl 1025.30033 Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki 2002, No. 1, 34-39 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 30E20 32K05 30G25 PDF BibTeX XML Cite \textit{E. V. Tyurikov}, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki 2002, No. 1, 34--39 (2002; Zbl 1025.30033) OpenURL
Gürlebeck, K.; Hommel, A. On finite difference potentials and their applications in a discrete function theory. (English) Zbl 1013.30031 Math. Methods Appl. Sci. 25, No. 16-18, 1563-1576 (2002). Reviewer: Wolfgang Sproessig (Freiberg) MSC: 30G25 31C20 39A70 PDF BibTeX XML Cite \textit{K. Gürlebeck} and \textit{A. Hommel}, Math. Methods Appl. Sci. 25, No. 16--18, 1563--1576 (2002; Zbl 1013.30031) Full Text: DOI OpenURL
Gürlebeck, Klaus; Hommel, Angela On finite difference Dirac operators and their fundamental solutions. (English) Zbl 1221.30107 Adv. Appl. Clifford Algebr. 11, Suppl. 2, 89-106 (2001). MSC: 30G35 30G25 35Q40 39A12 PDF BibTeX XML Cite \textit{K. Gürlebeck} and \textit{A. Hommel}, Adv. Appl. Clifford Algebr. 11, 89--106 (2001; Zbl 1221.30107) Full Text: DOI OpenURL
Williams, G. Brock Approximation of quasisymmetries using circle packings. (English) Zbl 0984.30028 Discrete Comput. Geom. 25, No. 1, 103-124 (2001). Reviewer: José Lúis Fernandez Perez (Madrid) MSC: 30G25 30C62 PDF BibTeX XML Cite \textit{G. B. Williams}, Discrete Comput. Geom. 25, No. 1, 103--124 (2001; Zbl 0984.30028) Full Text: DOI OpenURL
Kristalinskii, V. R. About the approximate solution of the usual and generalized Hilbert boundary value problems for analytical functions. (English) Zbl 1006.65142 Math. Model. Anal. 5, 119-126 (2000). MSC: 65R20 45E05 30G25 PDF BibTeX XML Cite \textit{V. R. Kristalinskii}, Math. Model. Anal. 5, 119--126 (2000; Zbl 1006.65142) OpenURL
Bojarski, B. The geometry of Riemann-Hilbert problem. II. (English) Zbl 1007.30026 Lu, Jian Ke (ed.) et al., Boundary value problems, integral equations and related problems. Proceedings of the 2nd international conference, Beijing and Chengde, China, August 8-14, 1999. Singapore: World Scientific. 41-48 (2000). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) MSC: 30E25 30G25 PDF BibTeX XML Cite \textit{B. Bojarski}, in: Boundary value problems, integral equations and related problems. Proceedings of the 2nd international conference, Beijing and Chengde, China, August 8--14, 1999. Singapore: World Scientific. 41--48 (2000; Zbl 1007.30026) OpenURL
Van Lancker, P. Taylor and Laurent series on the sphere. (English) Zbl 1019.30044 Complex Variables, Theory Appl. 38, No. 4, 321-365 (1999). MSC: 30G25 30G30 PDF BibTeX XML Cite \textit{P. Van Lancker}, Complex Variables, Theory Appl. 38, No. 4, 321--365 (1999; Zbl 1019.30044) Full Text: DOI OpenURL
McCaughan, Gareth A recurrence/transience result for circle packings. (English) Zbl 0912.30002 Proc. Am. Math. Soc. 126, No. 12, 3647-3656 (1998). Reviewer: D.Lesley (San Diego) MSC: 30C35 30G25 60G50 PDF BibTeX XML Cite \textit{G. McCaughan}, Proc. Am. Math. Soc. 126, No. 12, 3647--3656 (1998; Zbl 0912.30002) Full Text: DOI OpenURL
Schramm, Oded Circle patterns with the combinatorics of the square grid. (English) Zbl 1053.30525 Duke Math. J. 86, No. 2, 347-389 (1997). Reviewer: Philip L. Bowers (MR1430437) MSC: 30G25 05B40 30D99 52C15 PDF BibTeX XML Cite \textit{O. Schramm}, Duke Math. J. 86, No. 2, 347--389 (1997; Zbl 1053.30525) Full Text: DOI Euclid OpenURL
Dubejko, Tomasz Circle packings in the unit disc. (English) Zbl 0865.30004 Complex Variables, Theory Appl. 32, No. 1, 29-50 (1997). Reviewer: T.Dubejko (Evanston / IL) MSC: 30C20 30G25 52C15 30C99 PDF BibTeX XML Full Text: DOI arXiv Link OpenURL
Khan, Mumtaz Ahmad Discrete hypergeometric functions and their properties. (English) Zbl 0892.33011 Demonstr. Math. 30, No. 3, 537-544 (1997). Reviewer: H.Exton (Dunrossness) MSC: 33D99 30G25 PDF BibTeX XML Cite \textit{M. A. Khan}, Demonstr. Math. 30, No. 3, 537--544 (1997; Zbl 0892.33011) Full Text: DOI OpenURL
Dubejko, Tomasz Random walks on circle packings. (English) Zbl 0898.60072 Dodziuk, Józef (ed.) et al., Lipa’s legacy. Proceedings of the 1st Bers colloquium, New York, NY, October 19–20, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 211, 169-182 (1997). MSC: 60G50 52C15 30C62 30G25 PDF BibTeX XML Cite \textit{T. Dubejko}, Contemp. Math. 211, 169--182 (1997; Zbl 0898.60072) Full Text: arXiv OpenURL
Khan, Mumtaz Ahmad On an algebraic study of a class of discrete analytic functions. (English) Zbl 0877.30024 Demonstr. Math. 30, No. 1, 183-188 (1997). Reviewer: H.Exton (Dunrossness) MSC: 30G25 30H05 PDF BibTeX XML Cite \textit{M. A. Khan}, Demonstr. Math. 30, No. 1, 183--188 (1997; Zbl 0877.30024) Full Text: DOI OpenURL
Jin, Guoxiang Approximate solution of Hilbert boundary value problems. (Chinese. English summary) Zbl 0870.35008 J. Wuhan Univ., Nat. Sci. Ed. 42, No. 5, 556-560 (1996). Reviewer: Li Mingzhong (Shanghai) MSC: 35A35 30G25 35J67 PDF BibTeX XML Cite \textit{G. Jin}, J. Wuhan Univ., Nat. Sci. Ed. 42, No. 5, 556--560 (1996; Zbl 0870.35008) OpenURL
Dubejko, Tomasz Branched circle packings and discrete Blaschke products. (English) Zbl 0849.30028 Trans. Am. Math. Soc. 347, No. 10, 4073-4103 (1995). Reviewer: M.Vuorinen (Helsinki) MSC: 30D50 30G25 PDF BibTeX XML Cite \textit{T. Dubejko}, Trans. Am. Math. Soc. 347, No. 10, 4073--4103 (1995; Zbl 0849.30028) Full Text: DOI OpenURL
Khan, Mumtaz Ahmad \((p,q)\)-analytic functions and discrete bibasic hypergeometric series. (English) Zbl 0848.30033 Math. Notae 37 (1993/94), 43-56 (1994). Reviewer: H.Exton (Dunrossness) MSC: 30G25 33D65 PDF BibTeX XML Cite \textit{M. A. Khan}, Math. Notae 37, 43--56 (1994; Zbl 0848.30033) OpenURL
Khan, Mumtaz Ahmad Transformations of discrete hypergeometric functions. (English) Zbl 0849.33011 Math. Balk., New Ser. 6, No. 3, 199-206 (1992). Reviewer: W.Chu (MR 94f:33031) MSC: 33D99 30G25 33D20 PDF BibTeX XML Cite \textit{M. A. Khan}, Math. Balk., New Ser. 6, No. 3, 199--206 (1992; Zbl 0849.33011) OpenURL
Jacob, Mercy K. Periodicity problem for discrete pseudoanalytic functions. (English) Zbl 0888.30028 Ganita 42, No. 1-2, 35-48 (1991). Reviewer: R.Heersink (Graz) MSC: 30G20 30G25 PDF BibTeX XML Cite \textit{M. K. Jacob}, Gaṇita 42, No. 1--2, 35--48 (1991; Zbl 0888.30028) OpenURL