Ghosh, Chinmay; Khan, Subhadip; Bandyopadhyay, Anirban On the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations in terms of \((p,q)\)-order. (English) Zbl 07812177 J. Class. Anal. 21, No. 2, 65-86 (2023). MSC: 30D35 39A10 39B32 PDFBibTeX XMLCite \textit{C. Ghosh} et al., J. Class. Anal. 21, No. 2, 65--86 (2023; Zbl 07812177) Full Text: DOI arXiv
Bellaama, Rachid; Belaïdi, Benharrat Lower order for meromorphic solutions to linear delay-differential equations. (English) Zbl 1502.30100 Electron. J. Differ. Equ. 2021, Paper No. 92, 20 p. (2021). MSC: 30D35 39B32 39A10 PDFBibTeX XMLCite \textit{R. Bellaama} and \textit{B. Belaïdi}, Electron. J. Differ. Equ. 2021, Paper No. 92, 20 p. (2021; Zbl 1502.30100) Full Text: arXiv Link
Ahamed, M. B. On the Fermat-type difference equation \(f^3(z)+[c_1f(z+c)+c_0f(z)]^3=E^{\alpha z+\beta}\). (English) Zbl 1482.30084 J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 5, 255-269 (2021) and Izv. Nats. Akad. Nauk 56, No. 5, 3-22 (2021). MSC: 30D30 39A10 39B32 PDFBibTeX XMLCite \textit{M. B. Ahamed}, J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 5, 255--269 (2021; Zbl 1482.30084) Full Text: DOI
Ishizaki, Katsuya; Korhonen, Risto; Li, Nan; Tohge, Kazuya A Stothers-Mason theorem with a difference radical. (English) Zbl 1473.30019 Math. Z. 298, No. 1-2, 671-696 (2021). Reviewer: Indrajit Lahiri (Kalyani) MSC: 30D35 30C10 39A10 PDFBibTeX XMLCite \textit{K. Ishizaki} et al., Math. Z. 298, No. 1--2, 671--696 (2021; Zbl 1473.30019) Full Text: DOI arXiv
Belaïdi, Benharrat; Bellaama, Rachid Meromorphic solutions of higher order non-homogeneous linear difference equations. (English) Zbl 1488.30187 Bull. Transilv. Univ. Brașov, Ser. III, Math. Inform. Phys. 13(62), No. 2, 433-450 (2020). MSC: 30D35 39B32 39A10 PDFBibTeX XMLCite \textit{B. Belaïdi} and \textit{R. Bellaama}, Bull. Transilv. Univ. Brașov, Ser. III, Math. Inform. Phys. 13(62), No. 2, 433--450 (2020; Zbl 1488.30187) Full Text: DOI
Suksumran, Teerapong; Wiboonton, Keng Möbius’s functional equation and Schur’s lemma with applications to the complex unit disk. (English) Zbl 1369.39022 Aequationes Math. 91, No. 3, 491-503 (2017). Reviewer: Gian Luigi Forti (Milano) MSC: 39B32 30D05 20G05 20N05 PDFBibTeX XMLCite \textit{T. Suksumran} and \textit{K. Wiboonton}, Aequationes Math. 91, No. 3, 491--503 (2017; Zbl 1369.39022) Full Text: DOI
Lü, Feng; Han, Qi On the Fermat-type equation \({f^3(z)+f^3(z+c)=1}\). (English) Zbl 1378.30015 Aequationes Math. 91, No. 1, 129-136 (2017). Reviewer: Risto Korhonen (Joensuu) MSC: 30D35 39A10 39B32 PDFBibTeX XMLCite \textit{F. Lü} and \textit{Q. Han}, Aequationes Math. 91, No. 1, 129--136 (2017; Zbl 1378.30015) Full Text: DOI
Zhang, Jianjun On Malmquist type theorem of systems of complex difference equations. (English) Zbl 1422.30055 Adv. Difference Equ. 2015, Paper No. 131, 14 p. (2015). MSC: 30D35 30D30 39A10 39B32 39A12 PDFBibTeX XMLCite \textit{J. Zhang}, Adv. Difference Equ. 2015, Paper No. 131, 14 p. (2015; Zbl 1422.30055) Full Text: DOI
Kátai, Imre; Phong, Bui Minh A consequence of the ternary Goldbach theorem. (English) Zbl 1349.11005 Publ. Math. Debr. 86, No. 3-4, 465-471 (2015). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11A25 11A67 11K65 30D05 11P32 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Publ. Math. Debr. 86, No. 3--4, 465--471 (2015; Zbl 1349.11005) Full Text: DOI
Yun, Sungsik Orthogonality and linear mappings in Banach modules. (English) Zbl 1333.39028 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 22, No. 4, 343-357 (2015). MSC: 39B55 46S10 47H10 39B52 47S10 30G06 46H25 46L05 12J25 PDFBibTeX XMLCite \textit{S. Yun}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 22, No. 4, 343--357 (2015; Zbl 1333.39028) Full Text: DOI
Qi, Xiaoguang; Yang, Lianzhong Properties of meromorphic solutions to certain differential-difference equations. (English) Zbl 1293.39001 Electron. J. Differ. Equ. 2013, Paper No. 135, 9 p. (2013). MSC: 39A10 39A45 39B32 30D35 PDFBibTeX XMLCite \textit{X. Qi} and \textit{L. Yang}, Electron. J. Differ. Equ. 2013, Paper No. 135, 9 p. (2013; Zbl 1293.39001) Full Text: EMIS
Bohner, Martin; Chieochan, Rotchana Positive periodic solutions for higher-order functional \(q\)-difference equations. (English) Zbl 1274.39005 J. Appl. Funct. Anal. 8, No. 1, 14-22 (2013). MSC: 39A10 39A13 39A23 34C25 34K13 30D05 PDFBibTeX XMLCite \textit{M. Bohner} and \textit{R. Chieochan}, J. Appl. Funct. Anal. 8, No. 1, 14--22 (2013; Zbl 1274.39005)
Ronkainen, Onni Meromorphic solutions of difference Painlevé equations. (English) Zbl 1219.39001 Annales AcademiæScientiarum Fennicæ. Mathematica. Dissertationes 155. Helsinki: Suomalainen Tiedeakatemia; Joensuu: Univ. of Eastern Finland, Faculty of Science and Forestry (Diss.) (ISBN 978-951-41-1046-7/pbk; 978-951-41-1047-4/ebook). 59 p. (2010). Reviewer: Kazuya Tohge (Kanazawa) MSC: 39A12 34M55 39A10 39-02 30D35 PDFBibTeX XMLCite \textit{O. Ronkainen}, Meromorphic solutions of difference Painlevé equations. Helsinki: Suomalainen Tiedeakatemia; Joensuu: Univ. of Eastern Finland, Faculty of Science and Forestry (Diss.) (2010; Zbl 1219.39001) Full Text: Link
Gronau, Detlef Difference equations, Euler’s summation formula and Hyers-Ulam stability. (English) Zbl 1158.39001 Aequationes Math. 76, No. 3, 249-257 (2008). Reviewer: Gian Luigi Forti (Milano) MSC: 39A10 39B32 39B82 30D05 PDFBibTeX XMLCite \textit{D. Gronau}, Aequationes Math. 76, No. 3, 249--257 (2008; Zbl 1158.39001) Full Text: DOI
Laine, Ilpo; Rieppo, Jarkko; Silvennoinen, Heli Remarks on complex difference equations. (English) Zbl 1093.39018 Comput. Methods Funct. Theory 5, No. 1, 77-88 (2005). Reviewer: Raghib Abu-Saris (Sharjah) MSC: 39A12 30D05 30D35 39B12 39B32 34M55 39A10 PDFBibTeX XMLCite \textit{I. Laine} et al., Comput. Methods Funct. Theory 5, No. 1, 77--88 (2005; Zbl 1093.39018) Full Text: DOI
Yoshino, Kunio Difference equation in the space of holomorphic functions of exponential type and Ramanujan summation. (English) Zbl 0926.39004 RIMS Kokyuroku 983, 188-199 (1997). MSC: 39A10 40G99 30D05 PDFBibTeX XMLCite \textit{K. Yoshino}, RIMS Kokyuroku 983, 188--199 (1997; Zbl 0926.39004)
Fruchard, Augustin The sum of a function. (English) Zbl 0845.39001 Analysis 16, No. 1, 65-88 (1996). Reviewer: W.Bergweiler (Berlin) MSC: 39A10 39B32 30D05 26E35 PDFBibTeX XMLCite \textit{A. Fruchard}, Analysis 16, No. 1, 65--88 (1996; Zbl 0845.39001) Full Text: DOI
Kooman, R. J. Convergence properties of recurrence sequences. (English) Zbl 0746.11010 CWI Tracts. 83. Amsterdam: Centrum voor Wiskunde en Informatica. 111 p. (1991). MSC: 11B37 39A10 65Q05 11-02 39-02 40-02 30B70 40A15 PDFBibTeX XMLCite \textit{R. J. Kooman}, Convergence properties of recurrence sequences. Amsterdam: Centrum voor Wiskunde en Informatica (1991; Zbl 0746.11010)
Kapoulitsas, George M. The cooling of a slab under continuously varying boundary conditions. (English) Zbl 0735.73059 Q. J. Mech. Appl. Math. 44, No. 2, 285-301 (1991). MSC: 74F10 74A15 30E25 39A10 PDFBibTeX XMLCite \textit{G. M. Kapoulitsas}, Q. J. Mech. Appl. Math. 44, No. 2, 285--301 (1991; Zbl 0735.73059) Full Text: DOI
Borelli Forti, Costanza; Forti, Gian Luigi On entire functions additive on graphs. (English) Zbl 0674.39007 C. R. Math. Acad. Sci., Soc. R. Can. 11, No. 1, 29-33 (1989). Reviewer: M.Sablik MSC: 39B99 30D05 PDFBibTeX XMLCite \textit{C. Borelli Forti} and \textit{G. L. Forti}, C. R. Math. Acad. Sci., Soc. R. Can. 11, No. 1, 29--33 (1989; Zbl 0674.39007)
Praagman, C. Stokes and Gevrey phenomena in relation to index theorems in the theory of meromorphic linear difference equations. (English) Zbl 0618.39002 Funkc. Ekvacioj, Ser. Int. 29, 259-279 (1986). Reviewer: F.Gross MSC: 39A10 30D05 PDFBibTeX XMLCite \textit{C. Praagman}, Funkc. Ekvacioj, Ser. Int. 29, 259--279 (1986; Zbl 0618.39002)
Vamanamurthy, M. K.; Walker, W. J. Difference equations in the complex plane. (English) Zbl 0598.39003 J. Math. Anal. Appl. 105, 272-275 (1985). Reviewer: D.Dorninger MSC: 39A10 30D05 PDFBibTeX XMLCite \textit{M. K. Vamanamurthy} and \textit{W. J. Walker}, J. Math. Anal. Appl. 105, 272--275 (1985; Zbl 0598.39003) Full Text: DOI
Yanagihara, Niro Meromorphic solutions of some nonlinear difference equations of higher order. (English) Zbl 0591.30023 J. Math. Soc. Japan 37, 569-603 (1985). Reviewer: G.Jank MSC: 30D05 39A10 39B99 PDFBibTeX XMLCite \textit{N. Yanagihara}, J. Math. Soc. Japan 37, 569--603 (1985; Zbl 0591.30023) Full Text: DOI
Baker, I. N.; Liverpool, L. S. O. The entire solutions of a polynomial difference equation. (English) Zbl 0557.30003 Aequationes Math. 27, 97-113 (1984). Reviewer: D.Roux MSC: 30A10 30D05 39A10 PDFBibTeX XMLCite \textit{I. N. Baker} and \textit{L. S. O. Liverpool}, Aequationes Math. 27, 97--113 (1984; Zbl 0557.30003) Full Text: DOI EuDML
Yanagihara, Niro Meromorphic solutions of some functional equations. (English) Zbl 0528.30013 Bull. Sci. Math., II. Ser. 107, 289-300 (1983). MSC: 30D05 30D35 39A10 PDFBibTeX XMLCite \textit{N. Yanagihara}, Bull. Sci. Math., II. Sér. 107, 289--300 (1983; Zbl 0528.30013)
Mahler, K. On the analytic solution of certain functional and difference equations. (English) Zbl 0517.39005 Proc. R. Soc. Lond., Ser. A 389, 1-13 (1983). MSC: 39B99 30D05 39A10 65Q05 PDFBibTeX XMLCite \textit{K. Mahler}, Proc. R. Soc. Lond., Ser. A 389, 1--13 (1983; Zbl 0517.39005) Full Text: DOI
Yanagihara, Niro Meromorphic solutions of some difference equations of higher order. II. (English) Zbl 0517.30025 Proc. Japan Acad., Ser. A 58, 284-286 (1982). MSC: 30D05 39A10 30D30 PDFBibTeX XMLCite \textit{N. Yanagihara}, Proc. Japan Acad., Ser. A 58, 284--286 (1982; Zbl 0517.30025) Full Text: DOI
Yanagihara, Niro “Borel” lines for meromorphic solutions of the difference equation \(y(x+1)=y(x)+1+\lambda/y(x)\). (English) Zbl 0524.30016 Proc. Japan Acad., Ser. A 57, 352-355 (1981). MSC: 30D05 39A10 PDFBibTeX XMLCite \textit{N. Yanagihara}, Proc. Japan Acad., Ser. A 57, 352--355 (1981; Zbl 0524.30016) Full Text: DOI
Shimomura, Shun Entire solutions of a polynomial difference equation. (English) Zbl 0469.30021 J. Fac. Sci., Univ. Tokyo, Sect. I A 28, 253-266 (1981). MSC: 30D05 39A10 PDFBibTeX XMLCite \textit{S. Shimomura}, J. Fac. Sci., Univ. Tokyo, Sect. I A 28, 253--266 (1981; Zbl 0469.30021)
Yanagihara, Niro Meromorphic solutions of the difference equation \(y(x+1)=y(x)+1+{\lambda\over y(x)}\). II. (English) Zbl 0408.30029 Funkc. Ekvacioj, Ser. Int. 21, 223-240 (1978). MSC: 30D05 30D30 30D35 39A10 PDFBibTeX XMLCite \textit{N. Yanagihara}, Funkc. Ekvacioj, Ser. Int. 21, 223--240 (1978; Zbl 0408.30029)
Yanagihara, Niro Meromorphic solutions of the difference equation \(y(x+1)=y(x)+1+{lambda\over y(x)}\). I. (English) Zbl 0394.30014 Funkc. Ekvacioj, Ser. Int. 21, 97-104 (1978). MSC: 30D05 30D30 30D35 39A10 PDFBibTeX XMLCite \textit{N. Yanagihara}, Funkc. Ekvacioj, Ser. Int. 21, 97--104 (1978; Zbl 0394.30014)