Laurent, Adrien The Lie derivative and Noether’s theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators. (English) Zbl 07807504 J. Comput. Dyn. 11, No. 1, 10-22 (2024). MSC: 14-XX 05C05 41A58 37M15 58A12 58J10 58E30 PDFBibTeX XMLCite \textit{A. Laurent}, J. Comput. Dyn. 11, No. 1, 10--22 (2024; Zbl 07807504) Full Text: DOI arXiv
Ismail, Mourad E. H.; Simeonov, Plamen; Stanton, Dennis Interpolatory Taylor and Lidstone series. (English) Zbl 07806048 Anal. Appl., Singap. 22, No. 2, 383-405 (2024). MSC: 41A58 30D10 05A30 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Anal. Appl., Singap. 22, No. 2, 383--405 (2024; Zbl 07806048) Full Text: DOI
Wang, Shanwen; Yuan, Yijun Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\).II. (English) Zbl 07785368 Int. J. Number Theory 20, No. 1, 1-18 (2024). MSC: 11S05 11Y40 11P83 05A10 41A58 PDFBibTeX XMLCite \textit{S. Wang} and \textit{Y. Yuan}, Int. J. Number Theory 20, No. 1, 1--18 (2024; Zbl 07785368) Full Text: DOI arXiv
Liu, Zhi Guo A multiple \(q\)-translation formula and its implications. (English) Zbl 07785728 Acta Math. Sin., Engl. Ser. 39, No. 12, 2338-2363 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 33D05 33D15 33D45 05A30 39A13 41A58 32A05 30B10 PDFBibTeX XMLCite \textit{Z. G. Liu}, Acta Math. Sin., Engl. Ser. 39, No. 12, 2338--2363 (2023; Zbl 07785728) Full Text: DOI
Laurent, Adrien; McLachlan, Robert I.; Munthe-Kaas, Hans Z.; Verdier, Olivier The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. (English) Zbl 1527.37090 Forum Math. Sigma 11, Paper No. e69, 39 p. (2023). Reviewer: Kevin Burrage (Brisbane) MSC: 37M15 41A58 05C05 65L06 58A12 PDFBibTeX XMLCite \textit{A. Laurent} et al., Forum Math. Sigma 11, Paper No. e69, 39 p. (2023; Zbl 1527.37090) Full Text: DOI arXiv
Hıra, Fatma On \(q, \omega\)-differential transform method. (English) Zbl 1525.39013 J. Phys. A, Math. Theor. 56, No. 32, Article ID 325202, 18 p. (2023). Reviewer: Vitaliy Volchkov (Donetsk) MSC: 39A70 39A13 44A55 05A30 PDFBibTeX XMLCite \textit{F. Hıra}, J. Phys. A, Math. Theor. 56, No. 32, Article ID 325202, 18 p. (2023; Zbl 1525.39013) Full Text: DOI
Ismail, Mourad E. H.; Mansour, Zeinab S. I. \(q\)-type Lidstone expansions and an interpolation problem for entire functions. (English) Zbl 1498.05037 Adv. Appl. Math. 142, Article ID 102429, 30 p. (2023). MSC: 05A30 41A58 41A05 39A13 30E20 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{Z. S. I. Mansour}, Adv. Appl. Math. 142, Article ID 102429, 30 p. (2023; Zbl 1498.05037) Full Text: DOI arXiv
Oertel, Frank Upper bounds for Grothendieck constants, quantum correlation matrices and CCP functions. arXiv:2305.04428 Preprint, arXiv:2305.04428 [math.FA] (2023). MSC: 05A10 15A60 33C05 33C45 41A58 62H05 62H20 46A20 47B10 81P45 BibTeX Cite \textit{F. Oertel}, ``Upper bounds for Grothendieck constants, quantum correlation matrices and CCP functions'', Preprint, arXiv:2305.04428 [math.FA] (2023) Full Text: arXiv OA License
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng Maclaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function. (English) Zbl 1513.41041 Appl. Anal. Discrete Math. 16, No. 2, 427-466 (2022). MSC: 41A58 05A19 11B73 11B83 11C08 26A39 33B10 33B15 33B20 PDFBibTeX XMLCite \textit{B.-N. Guo} et al., Appl. Anal. Discrete Math. 16, No. 2, 427--466 (2022; Zbl 1513.41041) Full Text: DOI
Qi, Feng Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of pi. (English) Zbl 1525.41014 Demonstr. Math. 55, 710-736 (2022). MSC: 41A58 05A19 11B73 11M06 33B10 PDFBibTeX XMLCite \textit{F. Qi}, Demonstr. Math. 55, 710--736 (2022; Zbl 1525.41014) Full Text: DOI arXiv
El Kaoutit, Laiachi; Saracco, Paolo The Hopf algebroid structure of differentially recursive sequences. (English) Zbl 1508.12005 Quaest. Math. 45, No. 4, 547-593 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 12H05 16S32 16T05 34M15 05A19 03D20 34G10 41A58 PDFBibTeX XMLCite \textit{L. El Kaoutit} and \textit{P. Saracco}, Quaest. Math. 45, No. 4, 547--593 (2022; Zbl 1508.12005) Full Text: DOI arXiv
Elewoday, Mohamed; Gingold, Harry; Quaintance, Jocelyn Factorizations of bivariate Taylor series via inverse power products. (English) Zbl 1496.41013 Ramanujan J. 57, No. 2, 417-451 (2022). Reviewer: Aida Tagiyeva (Baku) MSC: 41A58 05A17 11P81 30E10 PDFBibTeX XMLCite \textit{M. Elewoday} et al., Ramanujan J. 57, No. 2, 417--451 (2022; Zbl 1496.41013) Full Text: DOI
Borisov, D. I. Analyticity of resolvents of elliptic operators on quantum graphs with small edges. (English) Zbl 1485.81032 Adv. Math. 397, Article ID 108125, 48 p. (2022). MSC: 81Q35 05C70 47A10 14P15 41A58 PDFBibTeX XMLCite \textit{D. I. Borisov}, Adv. Math. 397, Article ID 108125, 48 p. (2022; Zbl 1485.81032) Full Text: DOI arXiv
Bruned, Yvain; Schratz, Katharina Resonance-based schemes for dispersive equations via decorated trees. (English) Zbl 1504.65168 Forum Math. Pi 10, Paper No. e2, 76 p. (2022). Reviewer: Michael Jung (Dresden) MSC: 65M06 60L70 65M12 65M15 16T05 41A58 42A38 05C05 35B34 35Q53 35Q55 35Q41 60L30 81R50 PDFBibTeX XMLCite \textit{Y. Bruned} and \textit{K. Schratz}, Forum Math. Pi 10, Paper No. e2, 76 p. (2022; Zbl 1504.65168) Full Text: DOI arXiv
Nimbran, Amrik Singh; Levrie, Paul; Sofo, Anthony Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\). (English) Zbl 1478.05008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022). MSC: 05A10 11B68 11B65 11M06 11Y60 33B15 41A58 PDFBibTeX XMLCite \textit{A. S. Nimbran} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022; Zbl 1478.05008) Full Text: DOI
Bronasco, Eugen Exotic B-series and S-series: algebraic structures and order conditions for invariant measure sampling. arXiv:2209.11046 Preprint, arXiv:2209.11046 [math.NA] (2022). MSC: 60H35 37M25 65L06 41A58 05C05 BibTeX Cite \textit{E. Bronasco}, ``Exotic B-series and S-series: algebraic structures and order conditions for invariant measure sampling'', Preprint, arXiv:2209.11046 [math.NA] (2022) Full Text: arXiv OA License
Qi, Feng; Taylor, Peter Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind. arXiv:2204.05612 Preprint, arXiv:2204.05612 [math.CA] (2022). MSC: 41A58 05A19 11B73 11B83 11C08 33B10 BibTeX Cite \textit{F. Qi} and \textit{P. Taylor}, ``Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind'', Preprint, arXiv:2204.05612 [math.CA] (2022) Full Text: DOI arXiv OA License
Khan, Bilal; Srivastava, H. M.; Tahir, Muhammad; Darus, Maslina; Ahmad, Qazi Zahoor; Khan, Nazar Applications of a certain \(q\)-integral operator to the subclasses of analytic and bi-univalent functions. (English) Zbl 1484.30012 AIMS Math. 6, No. 1, 1024-1039 (2021). MSC: 30C45 05A30 11B65 47B38 PDFBibTeX XMLCite \textit{B. Khan} et al., AIMS Math. 6, No. 1, 1024--1039 (2021; Zbl 1484.30012) Full Text: DOI
Noeiaghdam, Zahra; Rahmani, Morteza; Allahviranloo, Tofigh Introduction of the numerical methods in quantum calculus with uncertainty. (English) Zbl 1501.34002 J. Math. Model. 9, No. 2, 303-322 (2021). MSC: 34A07 34A08 05A30 41A58 65B15 65L05 34A12 PDFBibTeX XMLCite \textit{Z. Noeiaghdam} et al., J. Math. Model. 9, No. 2, 303--322 (2021; Zbl 1501.34002) Full Text: DOI
Hou, Qing-hu; Li, Guo-jie Gosper summability of rational multiples of hypergeometric terms. (English) Zbl 1494.41013 J. Difference Equ. Appl. 27, No. 12, 1723-1733 (2021). MSC: 41A60 05A20 40D05 41A58 PDFBibTeX XMLCite \textit{Q.-h. Hou} and \textit{G.-j. Li}, J. Difference Equ. Appl. 27, No. 12, 1723--1733 (2021; Zbl 1494.41013) Full Text: DOI arXiv
Wu, Feng; Zhang, Kailing; Zhu, Li; Hu, Jiayao High-performance computation of the exponential of a large sparse matrix. (English) Zbl 1480.65104 SIAM J. Matrix Anal. Appl. 42, No. 4, 1636-1655 (2021). MSC: 65F60 65F50 15A16 15A60 05C82 PDFBibTeX XMLCite \textit{F. Wu} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1636--1655 (2021; Zbl 1480.65104) Full Text: DOI arXiv
Borisov, D. I. Quantum graphs with small edges: holomorphy of resolvents. (English. Russian original) Zbl 1479.81026 Dokl. Math. 103, No. 3, 113-117 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 21-26 (2021). MSC: 81Q35 47A10 34B45 05C12 41A58 PDFBibTeX XMLCite \textit{D. I. Borisov}, Dokl. Math. 103, No. 3, 113--117 (2021; Zbl 1479.81026); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 21--26 (2021) Full Text: DOI
Ismail, Mourad E. H. A brief review of \(q\)-series. (English) Zbl 1483.05013 Cohl, Howard S. (ed.) et al., Lectures on orthogonal polynomials and special functions. Based on the 6th summer school on orthogonal polynomials and special functions (OPSF-S6), University of Maryland, College Park, MD, USA, July 11–15, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 464, 76-130 (2021). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 05A30 05-02 11B65 33D15 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Lond. Math. Soc. Lect. Note Ser. 464, 76--130 (2021; Zbl 1483.05013) Full Text: DOI
Shojaei-Fard, Ali The analytic evolution of Dyson-Schwinger equations via homomorphism densities. (English) Zbl 1470.81049 Math. Phys. Anal. Geom. 24, No. 2, Paper No. 18, 28 p. (2021). MSC: 81T16 46G05 46B09 05C63 81T27 41A58 PDFBibTeX XMLCite \textit{A. Shojaei-Fard}, Math. Phys. Anal. Geom. 24, No. 2, Paper No. 18, 28 p. (2021; Zbl 1470.81049) Full Text: DOI
Hou, Qing-hu; Li, Guojie Log-concavity of \(P\)-recursive sequences. (English) Zbl 1466.05008 J. Symb. Comput. 107, 251-268 (2021). MSC: 05A20 05A10 41A60 41A58 PDFBibTeX XMLCite \textit{Q.-h. Hou} and \textit{G. Li}, J. Symb. Comput. 107, 251--268 (2021; Zbl 1466.05008) Full Text: DOI arXiv
Wang, Shanwen; Yuan, Yijun Truncated expansion of \(\zeta_{p^n}\) in the \(p\)-adic Mal’cev-Neumann field. arXiv:2111.07127 Preprint, arXiv:2111.07127 [math.NT] (2021). MSC: 11Y40 11S05 11P83 05A10 41A58 BibTeX Cite \textit{S. Wang} and \textit{Y. Yuan}, ``Truncated expansion of $\zeta_{p^n}$ in the $p$-adic Mal'cev-Neumann field'', Preprint, arXiv:2111.07127 [math.NT] (2021) Full Text: arXiv OA License
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng Maclaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications. arXiv:2101.10686 Preprint, arXiv:2101.10686 [math.CO] (2021). MSC: 41A58 05A19 11B73 11B83 11C08 26A39 33B10 33B15 33B20 BibTeX Cite \textit{B.-N. Guo} et al., ``Maclaurin's series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications'', Preprint, arXiv:2101.10686 [math.CO] (2021) Full Text: DOI arXiv OA License
Gingold, H.; Quaintance, Jocelyn Different representations for power product generating functions. (English) Zbl 1470.05016 Util. Math. 116, 91-118 (2020). MSC: 05A15 11P81 30B10 41A58 PDFBibTeX XMLCite \textit{H. Gingold} and \textit{J. Quaintance}, Util. Math. 116, 91--118 (2020; Zbl 1470.05016)
Liu, Ji-Cai Supercongruences arising from hypergeometric series identities. (English) Zbl 1456.11005 Acta Arith. 193, No. 2, 175-182 (2020). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 05A19 33C20 41A58 14J32 33E50 PDFBibTeX XMLCite \textit{J.-C. Liu}, Acta Arith. 193, No. 2, 175--182 (2020; Zbl 1456.11005) Full Text: DOI arXiv
Li, Wen-Hui; Cao, Jian; Niu, Da-Wei; Zhao, Jiao-Lian; Qi, Feng An analytic generalization of the Catalan numbers and its integral representation. arXiv:2005.13515 Preprint, arXiv:2005.13515 [math.CO] (2020). MSC: 05A15 11B75 11B83 26A09 30E20 41A58 BibTeX Cite \textit{W.-H. Li} et al., ``An analytic generalization of the Catalan numbers and its integral representation'', Preprint, arXiv:2005.13515 [math.CO] (2020) Full Text: DOI arXiv OA License
Ismail, Mourad E. H.; Mansour, Zeinab S. I. \(q\)-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials. (English) Zbl 1423.05029 Anal. Appl., Singap. 17, No. 6, 853-895 (2019). MSC: 05A30 11B68 30B10 30E20 33D15 39A13 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{Z. S. I. Mansour}, Anal. Appl., Singap. 17, No. 6, 853--895 (2019; Zbl 1423.05029) Full Text: DOI
Srivastava, Hari Mohan; Khan, Shahid; Ahmad, Qazi Zahoor; Khan, Nazar; Hussain, Saqib The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain \(q\)-integral operator. (English) Zbl 1438.05021 Stud. Univ. Babeș-Bolyai, Math. 63, No. 4, 419-436 (2018). MSC: 05A30 30C45 11B65 47B38 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Stud. Univ. Babeș-Bolyai, Math. 63, No. 4, 419--436 (2018; Zbl 1438.05021) Full Text: DOI
Kostov, Ivan; Serban, Didina; Vu, Dinh-Long TBA and tree expansion. (English) Zbl 1406.82008 Dobrev, Vladimir (ed.), Quantum theory and symmetries with Lie theory and its applications in physics. Volume 2. QTS-X/LT-XII, Varna, Bulgaria, June 19–25, 2017. Singapore: Springer (ISBN 978-981-13-2178-8/hbk; 978-981-13-2179-5/ebook). Springer Proceedings in Mathematics & Statistics 255, 77-98 (2018). MSC: 82B30 82B20 41A58 05C05 PDFBibTeX XMLCite \textit{I. Kostov} et al., Springer Proc. Math. Stat. 255, 77--98 (2018; Zbl 1406.82008) Full Text: DOI arXiv
Jamil, Muhammad Kamran; Tomescu, Ioan Minimum general sum-connectivity index of trees and unicyclic graphs having a given matching number. (English) Zbl 1396.05026 Discrete Appl. Math. 222, 143-150 (2017). MSC: 05C05 05C40 05C70 PDFBibTeX XMLCite \textit{M. K. Jamil} and \textit{I. Tomescu}, Discrete Appl. Math. 222, 143--150 (2017; Zbl 1396.05026) Full Text: DOI
Kowalenko, Victor The partition method for a power series expansion. Theory and applications. (English) Zbl 1371.41001 Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-804466-7/hbk; 978-0-12-804511-4/ebook). ix, 302 p. (2017). Reviewer: Neha Malik (New Delhi) MSC: 41-02 41A58 05-02 05A17 05C85 11P81 11P82 40A20 PDFBibTeX XMLCite \textit{V. Kowalenko}, The partition method for a power series expansion. Theory and applications. Amsterdam: Elsevier/Academic Press (2017; Zbl 1371.41001) Full Text: Link
Vidiani, L. G. In the style of Herschel. (À la Herschel.) (French) Zbl 1366.11003 Quadrature 101, 36-37 (2016). MSC: 11-03 05-03 41A58 01A70 PDFBibTeX XMLCite \textit{L. G. Vidiani}, Quadrature 101, 36--37 (2016; Zbl 1366.11003)
Maheswaran, A.; Elango, C. Characterization of delta operator for Euler, Bernoulli of second kind and Mott polynomials. (English) Zbl 1356.05004 Int. J. Appl. Math. 29, No. 4, 425-438 (2016). MSC: 05A10 05A16 41A58 PDFBibTeX XMLCite \textit{A. Maheswaran} and \textit{C. Elango}, Int. J. Appl. Math. 29, No. 4, 425--438 (2016; Zbl 1356.05004) Full Text: DOI
Diao, Peter; Guillot, Dominique; Khare, Apoorva; Rajaratnam, Bala Differential calculus on graphon space. (English) Zbl 1315.05081 J. Comb. Theory, Ser. A 133, 183-227 (2015). MSC: 05C42 05C85 05C80 PDFBibTeX XMLCite \textit{P. Diao} et al., J. Comb. Theory, Ser. A 133, 183--227 (2015; Zbl 1315.05081) Full Text: DOI arXiv
Iwao, Shinsuke Perturbation of Perron roots and The max-plus spectral theorem. arXiv:1511.04652 Preprint, arXiv:1511.04652 [math.SP] (2015). MSC: 41A58 05C50 15A18 15B48 BibTeX Cite \textit{S. Iwao}, ``Perturbation of Perron roots and The max-plus spectral theorem'', Preprint, arXiv:1511.04652 [math.SP] (2015) Full Text: arXiv OA License
Chern, Hua-Huai; Fernández-Camacho, María-Inés; Hwang, Hsien-Kuei; Martínez, Conrado Psi-series method for equality of random trees and quadratic convolution recurrences. (English) Zbl 1280.05118 Random Struct. Algorithms 44, No. 1, 67-108 (2014). MSC: 05C80 05C85 68W40 68R10 05C05 41A58 PDFBibTeX XMLCite \textit{H.-H. Chern} et al., Random Struct. Algorithms 44, No. 1, 67--108 (2014; Zbl 1280.05118) Full Text: DOI
Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz Some families of Genocchi type polynomials and their interpolation functions. (English) Zbl 1253.05021 Integral Transforms Spec. Funct. 23, No. 12, 919-938 (2012); corrigendum 23, No. 12, 939-940 (2012). MSC: 11B68 05A10 11B65 11M35 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Integral Transforms Spec. Funct. 23, No. 12, 919--938 (2012; Zbl 1253.05021) Full Text: DOI DOI arXiv
Kowalenko, Victor Developments from Programming the Partition Method for a Power Series Expansion. arXiv:1203.4967 Preprint, arXiv:1203.4967 [math.CO] (2012). MSC: 05A17 05C85 11P81 11P82 40A05 40A20 41A58 47S20 68-04 68R99 68U01 68W01 BibTeX Cite \textit{V. Kowalenko}, ``Developments from Programming the Partition Method for a Power Series Expansion'', Preprint, arXiv:1203.4967 [math.CO] (2012) Full Text: arXiv OA License
Kowalenko, Victor Properties and applications of the reciprocal logarithm numbers. (English) Zbl 1208.11032 Acta Appl. Math. 109, No. 2, 413-437 (2010). Reviewer: Thomas Stoll (Marseille) MSC: 11B73 41A58 05A17 05C90 PDFBibTeX XMLCite \textit{V. Kowalenko}, Acta Appl. Math. 109, No. 2, 413--437 (2010; Zbl 1208.11032) Full Text: DOI
Yahi, M.; Sissaoui, H.; Saoudi, K. Numerical approximation and umbral calculus. (English) Zbl 1200.05024 Int. J. Appl. Math. 22, No. 6, 933-948 (2009). MSC: 05A40 41A58 65D32 PDFBibTeX XMLCite \textit{M. Yahi} et al., Int. J. Appl. Math. 22, No. 6, 933--948 (2009; Zbl 1200.05024)
Guttmann, Anthony J.; Jensen, Iwan Series analysis. (English) Zbl 1180.82025 Guttmann, Anthony J. (ed.), Polygons, polyominoes and polycubes. Dordrecht: Springer (ISBN 978-1-4020-9926-7/hbk; 978-1-4020-9927-4/ebook). Lecture Notes in Physics 775, 181-202 (2009). MSC: 82B20 05B50 41A21 41A20 41A58 41A10 PDFBibTeX XMLCite \textit{A. J. Guttmann} and \textit{I. Jensen}, Lect. Notes Phys. 775, 181--202 (2009; Zbl 1180.82025) Full Text: DOI
Popa, Emil C. On an expansion theorem in the finite operator calculus of G.-C. Rota. (English) Zbl 1199.05013 Gen. Math. 16, No. 4, 149-154 (2008). MSC: 05A40 41A58 PDFBibTeX XMLCite \textit{E. C. Popa}, Gen. Math. 16, No. 4, 149--154 (2008; Zbl 1199.05013) Full Text: EuDML
Wenchang, Chu Divided differences and generalized Taylor series. (English) Zbl 1204.41024 Forum Math. 20, No. 6, 1097-1108 (2008). MSC: 41A58 05A30 PDFBibTeX XMLCite \textit{C. Wenchang}, Forum Math. 20, No. 6, 1097--1108 (2008; Zbl 1204.41024) Full Text: DOI
Jiang, Hui Moderate deviation in colored random graphs. (Chinese. English summary) Zbl 1164.05454 J. Math., Wuhan Univ. 28, No. 1, 77-80 (2008). MSC: 05C80 05C15 60F15 PDFBibTeX XMLCite \textit{H. Jiang}, J. Math., Wuhan Univ. 28, No. 1, 77--80 (2008; Zbl 1164.05454)
He, Tian-Xiao A symbolic operator approach to power series transformation-expansion formulas. (English) Zbl 1151.41312 J. Integer Seq. 11, No. 2, Article ID 08.2.7, 19 p. (2008). MSC: 41A58 41A80 65B10 05A15 33C45 39A70 PDFBibTeX XMLCite \textit{T.-X. He}, J. Integer Seq. 11, No. 2, Article ID 08.2.7, 19 p. (2008; Zbl 1151.41312) Full Text: EuDML EMIS
Farmaki, V.; Nestoridis, V. A dichotomy principle for universal series. (English) Zbl 1146.05048 Bull. Pol. Acad. Sci., Math. 56, No. 2, 93-104 (2008). MSC: 05D10 41A58 30B30 PDFBibTeX XMLCite \textit{V. Farmaki} and \textit{V. Nestoridis}, Bull. Pol. Acad. Sci., Math. 56, No. 2, 93--104 (2008; Zbl 1146.05048) Full Text: DOI
Kubota, Koichi Combinatorial computation with automatic differentiation. (English) Zbl 1203.05087 Bischof, Christian H. (ed.) et al., Advances in automatic differentiation. Selected papers based on the presentations at the 5th international conference on automatic differentiation, Bonn, Germany, August 11–15, 2008. Berlin: Springer (ISBN 978-3-540-68935-5/pbk). Lecture Notes in Computational Science and Engineering 64, 315-325 (2008). MSC: 05C45 05C85 PDFBibTeX XMLCite \textit{K. Kubota}, Lect. Notes Comput. Sci. Eng. 64, 315--325 (2008; Zbl 1203.05087)
Zhao, Yueqing; Wu, Qingbiao Improvement on Wallis inequality. (Chinese. English summary) Zbl 1108.26305 J. Zhejiang Univ., Sci. Ed. 33, No. 4, 372-375 (2006). MSC: 26D15 05A20 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{Q. Wu}, J. Zhejiang Univ., Sci. Ed. 33, No. 4, 372--375 (2006; Zbl 1108.26305)
Zaffalon, Marco; Hutter, Marcus Robust inference of trees. (English) Zbl 1177.68217 Ann. Math. Artif. Intell. 45, No. 1-2, 215-239 (2006). MSC: 68T37 90C35 05C05 41A58 62G35 62H20 PDFBibTeX XMLCite \textit{M. Zaffalon} and \textit{M. Hutter}, Ann. Math. Artif. Intell. 45, No. 1--2, 215--239 (2006; Zbl 1177.68217) Full Text: DOI arXiv Link
Lomont, J. S. Formulas for power of the hyperbolic tangent with an application to higher-order tangent numbers. (English) Zbl 1081.33003 Rocky Mt. J. Math. 35, No. 4, 1217-1231 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33B10 05E05 41A58 PDFBibTeX XMLCite \textit{J. S. Lomont}, Rocky Mt. J. Math. 35, No. 4, 1217--1231 (2005; Zbl 1081.33003) Full Text: DOI
Vöge, Markus Topics in statistical mechanics: The \(n\)-friendly walker model and benzenoid systems. (Abstract of thesis). (English) Zbl 1049.05503 Bull. Aust. Math. Soc. 69, No. 2, 351-352 (2004). MSC: 05A99 41A58 68R05 PDFBibTeX XMLCite \textit{M. Vöge}, Bull. Aust. Math. Soc. 69, No. 2, 351--352 (2004; Zbl 1049.05503) Full Text: DOI
Hirschhorn, Michael D. A note on partial fractions. (English) Zbl 1062.41500 Aust. Math. Soc. Gaz. 30, No. 2, 81 (2003). MSC: 41A58 05A15 PDFBibTeX XMLCite \textit{M. D. Hirschhorn}, Aust. Math. Soc. Gaz. 30, No. 2, 81 (2003; Zbl 1062.41500)
He, Tianxiao; Hsu, Leetsch C.; Shiue, Peter J. S. On Abel-Gontscharoff-Gould’s polynomials. (English) Zbl 1044.05005 Anal. Theory Appl. 19, No. 2, 166-184 (2003). MSC: 05A10 11C08 13F25 41A58 PDFBibTeX XMLCite \textit{T. He} et al., Anal. Theory Appl. 19, No. 2, 166--184 (2003; Zbl 1044.05005) Full Text: DOI
Hsu, Leetsch C. A general expansion formula. (English) Zbl 1081.05502 He, Tian-Xiao (ed.) et al., Analysis, combinatorics and computing. Proceedings of the international symposium, ISACC 2000, dedicated to L. C. Hsu on the occasion of his 80th birthday, Dalian, China, August 3–5, 2000. Hauppauage, NY: Nova Science Publishers (ISBN 1-59033-405-1). 251-258 (2002). MSC: 05A15 41A58 PDFBibTeX XMLCite \textit{L. C. Hsu}, in: Analysis, combinatorics and computing. Proceedings of the international symposium, ISACC 2000, dedicated to L. C. Hsu on the occasion of his 80th birthday, Dalian, China, August 3--5, 2000. Hauppauage, NY: Nova Science Publishers. 251--258 (2002; Zbl 1081.05502)
Grinshpan, Arcadii Z. Inequalities generated by the gamma function. (English) Zbl 1026.26007 Adv. Appl. Math. 29, No. 1, 115-125 (2002). Reviewer: János Aczél (Waterloo / Ontario) MSC: 26D07 33B15 30A10 05A10 26D15 41A58 PDFBibTeX XMLCite \textit{A. Z. Grinshpan}, Adv. Appl. Math. 29, No. 1, 115--125 (2002; Zbl 1026.26007) Full Text: DOI
Asai, Kazuto Taylor expansion of implicit functions defined by linear equations of variables. (English) Zbl 1018.32001 Kodai Math. J. 24, No. 1, 31-35 (2001). Reviewer: S.K.Chatterjea (Kolkata) MSC: 32A05 32A10 05A17 PDFBibTeX XMLCite \textit{K. Asai}, Kodai Math. J. 24, No. 1, 31--35 (2001; Zbl 1018.32001) Full Text: DOI
Manstavičius, Eugenijus; Skrabutėnas, Rimantas An analytic problem in combinatorial structures. (Lithuanian. English summary) Zbl 1014.05006 Liet. Mat. Rink. 40, Spec. Iss., 61-67 (2000). MSC: 05A15 PDFBibTeX XMLCite \textit{E. Manstavičius} and \textit{R. Skrabutėnas}, Liet. Mat. Rink. 40, 61--67 (2000; Zbl 1014.05006)
Liu, Taowen Estimation of the remainder in the Taylor expansion formula of the delta operator. (Chinese. English summary) Zbl 1095.26502 Math. Appl. 13, No. 2, 41-45 (2000). MSC: 26A06 05A40 41A58 PDFBibTeX XMLCite \textit{T. Liu}, Math. Appl. 13, No. 2, 41--45 (2000; Zbl 1095.26502)
Drmota, Michael Systems of functional equations. (English) Zbl 0869.39010 Random Struct. Algorithms 10, No. 1-2, 103-124 (1997). Reviewer: J.Aczel (Waterloo/Ontario) MSC: 39B62 41A60 41A63 05A15 26B10 05C30 68Q45 39B32 41A58 PDFBibTeX XMLCite \textit{M. Drmota}, Random Struct. Algorithms 10, No. 1--2, 103--124 (1997; Zbl 0869.39010) Full Text: DOI
Todorov, Pavel G. Partial fraction decomposition and a new form of the Taylor expansion of the function \((z/(e^ z - 1))^ m\). (English) Zbl 0873.41030 Funct. Approximatio, Comment. Math. 23, 59-67 (1994). MSC: 41A58 30B10 05A19 11M06 PDFBibTeX XMLCite \textit{P. G. Todorov}, Funct. Approximatio, Comment. Math. 23, 59--67 (1994; Zbl 0873.41030)
Hauss, Michael Fibonacci, Lucas and central factorial numbers, and \(\pi\). (English) Zbl 0844.11014 Fibonacci Q. 32, No. 5, 395-396 (1994). Reviewer: M.Szalay (Budapest) MSC: 11B39 05A10 11B65 05A19 41A58 PDFBibTeX XMLCite \textit{M. Hauss}, Fibonacci Q. 32, No. 5, 395--396 (1994; Zbl 0844.11014)
Labelle, Gilbert Dérivées directionnelles et développements de Taylor combinatoires. (Directional derivatives and combinatorial Taylor expansions). (French) Zbl 0717.05003 Discrete Math. 79, No. 3, 279-297 (1990). Reviewer: Hang Tong Lau MSC: 05A10 PDFBibTeX XMLCite \textit{G. Labelle}, Discrete Math. 79, No. 3, 279--297 (1990; Zbl 0717.05003) Full Text: DOI
Butzer, P. L.; Hauss, M.; Schmidt, M. Factorial functions and Stirling numbers of fractional orders. (English) Zbl 0707.05002 Result. Math. 16, No. 1-2, 16-48 (1989). Reviewer: P.A.B.Pleasants MSC: 05A10 05A19 11B65 41A58 33B15 33C99 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Result. Math. 16, No. 1--2, 16--48 (1989; Zbl 0707.05002) Full Text: DOI
Frappier, Clement On the derivatives of composite functions. (English) Zbl 0653.05004 Fibonacci Q. 25, 229-239 (1987). Reviewer: P.A.B.Pleasants MSC: 05A10 26A24 11B39 PDFBibTeX XMLCite \textit{C. Frappier}, Fibonacci Q. 25, 229--239 (1987; Zbl 0653.05004)
Allouche, Jean-Paul Finite automata in number theory. (Automates finis en théorie des nombres.) (French) Zbl 0641.10041 Expo. Math. 5, 239-266 (1987). Reviewer: Ya. G. Berkovich MSC: 11B85 11K31 68Q70 11A63 42A61 20C30 05A17 33C55 PDFBibTeX XMLCite \textit{J.-P. Allouche}, Expo. Math. 5, 239--266 (1987; Zbl 0641.10041)
Engels, W.; Stark, E. L.; Vogt, L. Optimal kernels for a general sampling theorem. (English) Zbl 0578.41029 J. Approximation Theory 50, 69-83 (1987). MSC: 41A45 41A15 94A05 41A25 05A10 PDFBibTeX XMLCite \textit{W. Engels} et al., J. Approx. Theory 50, 69--83 (1987; Zbl 0578.41029) Full Text: DOI
Labelle, Gilbert Directional derivatives and combinatorial Taylor expansions. (Dérivées directionnelles et développements de Taylor combinatoires.) (French. English summary) Zbl 0978.05505 Sémin. Lothar. Comb. 17, B17b, no pag. (1987). MSC: 05A10 PDFBibTeX XMLCite \textit{G. Labelle}, Sémin. Lothar. Comb. 17, B17b, no pag. (1987; Zbl 0978.05505) Full Text: EMIS
Engels, W.; Stark, E. L.; Vogt, L. Central factorial numbers and powers of the sinc-function with applications. (English) Zbl 0578.41028 Mathematische Methoden in der Signalverarbeitung, 5. Kolloq., Aachen/Dtschl. 1984, 161-164 (1984). MSC: 41A45 41A15 94A05 41A25 05A10 PDFBibTeX XML
Shiu, Elias S. W. Proofs of central-difference interpolation formulas. (English) Zbl 0487.41038 J. Approximation Theory 35, 177-180 (1982). MSC: 41A58 41A05 41A10 05A15 PDFBibTeX XMLCite \textit{E. S. W. Shiu}, J. Approx. Theory 35, 177--180 (1982; Zbl 0487.41038) Full Text: DOI
Bleimann, G.; Stark, E. L. A trigonometric version of Taylor’s formula. (English) Zbl 0487.41039 Approximation and function spaces, Proc. int. Conf. Gdansk 1979, 149-162 (1981). MSC: 41A58 42A10 26A24 41A05 05A10 65D05 41A35 PDFBibTeX XML
Dumont, Dominique A combinatorial interpretation for the Schett recurrence on the Jacobian elliptic functions. (English) Zbl 0445.05016 Math. Comput. 33, 1293-1297 (1979). MSC: 05A15 33E05 11B37 PDFBibTeX XMLCite \textit{D. Dumont}, Math. Comput. 33, 1293--1297 (1979; Zbl 0445.05016) Full Text: DOI
Đoković, Dragomir Ž. A property of the Taylor expansion of a class of rational functions in several variables. (English) Zbl 0412.26007 J. Math. Anal. Appl. 66, 679-685 (1978). MSC: 26C15 30B10 32A05 05A15 PDFBibTeX XMLCite \textit{D. Ž. Đoković}, J. Math. Anal. Appl. 66, 679--685 (1978; Zbl 0412.26007) Full Text: DOI
Bonolis, A. Expansion of some determinants. (Sviluppi di alcuni determinanti.) (Italian) JFM 09.0101.02 Battaglini G. XV, 113-115 (1877). Reviewer: Klein, Benno, Dr. (Berlin) MSC: 15A15 41A58 05A10 11B25 39A70 PDFBibTeX XMLCite \textit{A. Bonolis}, Battaglini G. 15, 113--115 (1877; JFM 09.0101.02)