- Title
- The hypergeometric equation and Ramanujan functions
- Creator
- Zudilin, W.
- Relation
- The Ramanujan Journal Vol. 7, Issue 4, p. 435-447
- Publisher Link
- http://dx.doi.org/10.1023/B:RAMA.0000012426.23921.24
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2003
- Description
- 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.
- Subject
- hypergeometric equations; hypergeometric functions; Ramanujan functions; nonlinear differential equations
- Identifier
- http://hdl.handle.net/1959.13/934889
- Identifier
- uon:11935
- Identifier
- ISSN:1382-4090
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
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