On Schwarzian triangle functions, automorphic forms and a generalization of Ramanujan's triple differential equations

DOI10.1007/s10114-018-6389-2zbMath1404.33015OpenAlexW2806325283MaRDI QIDQ1633811

Li-Chien Shen

Publication date: 21 December 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-6389-2

zbMATH Keywords

hypergeometric functionJacobi theta functionsSchwarzian triangle functionRamanujan's triple differential equations

Mathematics Subject Classification ID

Elliptic integrals as hypergeometric functions (33C75)

Cites Work

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• On Hecke groups, Schwarzian triangle functions and a class of hyper-elliptic functions
• On the logarithmic derivative of a theta function and a fundamental identity of Ramanujan
• A note on the Schwarzian triangle functions