Study of <i>q</i>-Garnier System by Padé Method-Reference-Cited by-同舟云学术

Study of q-Garnier System by Padé Method

Published:2018 Issue:1 Volume:61 Page:109-133
ISSN:0532-8721
Container-title:Funkcialaj Ekvacioj
language:en
Short-container-title:FE

Author:

Nagao Hidehito¹,Yamada Yasuhiko²

Affiliation:

1. Akashi College

2. Kobe University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://www.jstage.jst.go.jp/article/fesi/61/1/61_109/_pdf

Reference35 articles.

1. [1] Andrews G. E., Summation and transformation for basic Appell series, J. London Math. Soc., 4 (1972), 618-622.

2. [2] Andrews G. E., Problems and prospectives for basic hypergeometric functions, in: Theory and application of special functions, Proc. Advanced Sem. Math. Res. Center, University of Wisconsin, Madison, WI, (1975), 19-224.

3. [3] Garnier R., Sur des équations différentielles du troisiéme ordre dont l'intégrale générale est uniforme et sur une classe d'équations nouvelles d'ordre supérieur dont l'intégrale générale a ses points critiques fixes, Ann. Sci. Ecole Norm. Super., 29 (1912), 1-126.

4. [4] Gasper G. and Rahman M., Basic Hypergeometric Series. With a foreword by Richard Askey. Second edition. Encyclopedia of Mathematics and its Applications, 96. Cambridge University Press Cambridge, 2004.

5. [5] Ikawa Y., Hypergeometric solutions for the q-Painlevé equation of type E₆⁽¹⁾ by the Padé method, Lett. Math. Phys., 103 (2013), 743-763.

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