Abstract
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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Zudilin, W. The Hypergeometric Equation and Ramanujan Functions. The Ramanujan Journal 7, 435–447 (2003). https://doi.org/10.1023/B:RAMA.0000012426.23921.24
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DOI: https://doi.org/10.1023/B:RAMA.0000012426.23921.24