The hypergeometric equation and Ramanujan functions

被引：15

作者：

Zudilin, W ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119992, Russia

来源：

RAMANUJAN JOURNAL | 2003年 / 7卷 / 04期

关键词：

hypergeometric equation; hypergeometric function; Ramanujan functions; nonlinear differential equations;

D O I：

10.1023/B:RAMA.0000012426.23921.24

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give analogues of the Ramanujan functions and nonlinear differential equations for them. Investigating a modular structure of solutions for nonlinear differential systems, we deduce new identities between the Ramanujan and hypergeometric functions. Another result of this paper is a solution of transcendence problems concerning nonlinear systems.

引用

页码：435 / 447

页数：13

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