The Hypergeometric Equation and Ramanujan Functions

被引：0
|
作者：
W. Zudilin
机构：
[1] Moscow Lomonosov State University,Department of Mechanics and Mathematics
来源：
The Ramanujan Journal | 2003年 / 7卷
关键词：
hypergeometric equation; hypergeometric function; Ramanujan functions; nonlinear differential equations;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：435 / 447
页数：12
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