Ramis, Jean-Pierre Epilogue: Stokes phenomena. Dynamics, classification problems and avatars. (English) Zbl 07913005 Cano, Felipe (ed.) et al., Handbook of geometry and topology of singularities VI: foliations. Cham: Springer. 383-482 (2024). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34-02 34M40 34M35 34M60 × Cite Format Result Cite Review PDF Full Text: DOI
Batic, Davide; Nowakowski, Marek The mathematical foundations of the asymptotic iteration method. (English) Zbl 1529.30006 Math. Methods Appl. Sci. 46, No. 9, 10833-10849 (2023). MSC: 30B70 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pelyukh, H. P.; Yeromina, T. O.; Povarova, O. A. Construction of solutions continuous and bounded for \(t \in \mathbb{R}^+\) (\(t \in \mathbb{R}^-\)) for the systems of autonomous nonlinear functional-difference equations. (English. Ukrainian original) Zbl 1511.39001 J. Math. Sci., New York 270, No. 2, 315-334 (2023); translation from Neliniĭni Kolyvannya 24, No. 2, 216-232 (2021). MSC: 39A05 39B05 39A22 × Cite Format Result Cite Review PDF Full Text: DOI
Ruan, Yong Bin; Wen, Yao Xiong Quantum \(K\)-theory and \(q\)-difference equations. (English) Zbl 1537.39008 Acta Math. Sin., Engl. Ser. 38, No. 10, 1677-1704 (2022). MSC: 39A13 33E30 33D05 05A30 11B65 14N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Yaoxinog Difference equation for quintic 3-fold. (English) Zbl 1492.14102 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 043, 25 p. (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14N35 33D90 39A13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergweiler, Walter Zeros, growth and Taylor coefficients of entire solutions of linear \(q\)-difference equations. (English) Zbl 1472.39011 Ann. Fenn. Math. 46, No. 1, 249-277 (2021). Reviewer: Liangwen Liao (Nanjing) MSC: 39A13 39A45 39A06 30D05 30D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yu-Tian; Wang, Xiang-Sheng; Wong, Roderick Asymptotics of the Wilson polynomials. (English) Zbl 1435.33010 Anal. Appl., Singap. 18, No. 2, 237-270 (2020). MSC: 33C45 39A06 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xiao-Min; Cao, Lihua; Wang, Xiang-Sheng Asymptotic expansion of orthogonal polynomials via difference equations. (English) Zbl 1408.41025 J. Approx. Theory 239, 29-50 (2019). Reviewer: Richard B. Paris (Dundee) MSC: 41A60 42C05 39A06 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Betsko, I. V. On the existence of continuous solutions of systems of difference equations. (English. Ukrainian original) Zbl 1366.39004 J. Math. Sci., New York 222, No. 3, 205-213 (2017); translation from Neliniĭni Kolyvannya 19, No. 1, 3-10 (2016). Reviewer: Thomas Dreyfus (Paris) MSC: 39A13 39A22 × Cite Format Result Cite Review PDF Full Text: DOI
Benoit, Alexandre; Joldeş, Mioara; Mezzarobba, Marc Rigorous uniform approximation of D-finite functions using Chebyshev expansions. (English) Zbl 1361.65045 Math. Comput. 86, No. 305, 1303-1341 (2017). MSC: 65L05 34A30 65L70 65G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Stević, Stevo On families of bounded continuous solutions of some systems of functional-difference equations on half-intervals. (English) Zbl 1410.39039 Appl. Math. Comput. 231, 169-178 (2014). MSC: 39B22 × Cite Format Result Cite Review PDF Full Text: DOI
Pelyukh, G. P. Asymptotic properties of continuous solutions of systems of nonlinear difference equations with continuous argument. (English. Russian original) Zbl 1259.39002 Differ. Equ. 48, No. 4, 609-613 (2012); translation from Differ. Uravn. 48, No. 4, 600-604 (2012). Reviewer: Stefan Balint (Timişoara) MSC: 39A10 39A22 × Cite Format Result Cite Review PDF Full Text: DOI
Willis, Joshua L. Acceleration of generalized hypergeometric functions through precise remainder asymptotics. (English) Zbl 1236.65019 Numer. Algorithms 59, No. 3, 447-485 (2012). MSC: 65D20 33C20 33F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pelyukh, H. P.; Sivak, O. A. On the structure of the set of continuous solutions of functional difference equations with linearly transformed argument. (English. Ukrainian original) Zbl 1334.39050 Nonlinear Oscil., N.Y. 13, No. 1, 85-107 (2010); translation from Neliniĭni Kolyvannya 13, No. 1, 75-95 (2010). MSC: 39B22 × Cite Format Result Cite Review PDF Full Text: DOI
Pelyukh, H. P.; Sivak, O. A. Continuous solutions of nonlinear functional difference equations and their properties. (English. Ukrainian original) Zbl 1277.39016 Nonlinear Oscil., N.Y. 12, No. 4, 559-573 (2009); translation from Nelinijni Kolyvannya 12, No. 4, 541-555 (2009). MSC: 39A13 39A22 × Cite Format Result Cite Review PDF Full Text: DOI
Pelyukh, H. P.; Sivak, O. A. Investigation of the structure of the set of continuous solutions of systems of linear functional difference equations. (English. Ukrainian original) Zbl 1277.39034 Nonlinear Oscil., N.Y. 12, No. 3, 314-345 (2009); translation from Nelinijni Kolyvannya 12, No. 3, 307-335 (2009). MSC: 39B22 39A13 × Cite Format Result Cite Review PDF Full Text: DOI
Janas, J.; Naboko, S.; Sheronova, E. Asymptotic behavior of generalized eigenvectors of Jacobi matrices in the critical (“double root”) case. (English) Zbl 1184.15008 Z. Anal. Anwend. 28, No. 4, 411-430 (2009). Reviewer: Grozio Stanilov (Sofia) MSC: 15A18 15B57 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cluzeau, Thomas; van Hoeij, Mark Computing hypergeometric solutions of linear recurrence equations. (English) Zbl 1102.65132 Appl. Algebra Eng. Commun. Comput. 17, No. 2, 83-115 (2006). MSC: 65Q05 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Mallik, Ranjan K. Solutions of linear difference equations with variable coefficients. (English) Zbl 0914.39003 J. Math. Anal. Appl. 222, No. 1, 79-91 (1998). Reviewer: V.I.Tkachenko (Kyïv) MSC: 39A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhang, J. M.; Li, X. C.; Qu, C. K. Error bounds for asymptotic solutions of second-order linear difference equations. (English) Zbl 0855.39010 J. Comput. Appl. Math. 71, No. 2, 191-212 (1996). Reviewer: E.Thandapani (Salem) MSC: 39A11 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Wong, R.; Li, H. Asymptotic expansions for second-order linear difference equations. (English) Zbl 0758.39005 J. Comput. Appl. Math. 41, No. 1-2, 65-94 (1992). Reviewer: H.Länger (Wien) MSC: 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Wong, R.; Li, H. Asymptotic expansions for second-order linear difference equations. II. (English) Zbl 0780.39005 Stud. Appl. Math. 87, No. 4, 289-324 (1992). Reviewer: H.Länger (Wien) MSC: 39A10 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Wimp, Jet; Zeilberger, Doron Resurrecting the asymptotics of linear recurrences. (English) Zbl 0579.05007 J. Math. Anal. Appl. 111, 162-176 (1985). Reviewer: P.Reichensperger MSC: 05A15 65N22 68R99 × Cite Format Result Cite Review PDF Full Text: DOI
Wimp, Jet The summation of series whose terms have asymptotic representations. (English) Zbl 0292.40005 J. Approximation Theory 10, 185-198 (1974). MSC: 40A25 × Cite Format Result Cite Review PDF Full Text: DOI
Hunter, C. Asymptotic solutions of certain linear difference equations, with applications to some eigenvalue problems. (English) Zbl 0197.06601 J. Math. Anal. Appl. 24, 279-289 (1968). × Cite Format Result Cite Review PDF Full Text: DOI
Birkhoff, G. D. Formal theory of irregular linear difference equations. (English) JFM 56.0402.01 Acta Math. 54, 205-246 (1930). Reviewer: Wilson, B. M., Prof. (Dundee) × Cite Format Result Cite Review PDF Full Text: DOI