On elliptic and hyperbolic modular functions and the corresponding Gudermann Peeta functions

DOI10.3390/axioms4030235zbMath1415.33007OpenAlexW1532778605MaRDI QIDQ2422509

Thomas Ernst

Publication date: 19 June 2019

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms4030235

zbMATH Keywords

Möbius transformationSchwarz-Christoffel transformationCarlson's modern notationhyperbolic modular functionhyperbolic series expansionPeeta function

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elliptic functions and integrals (33E05)

Uses Software

• DLMF

Cites Work

• Series expansions of solutions of the heat equation in \(n\) dimensions
• Symmetry in c, d, n of Jacobian elliptic functions
• A Comprehensive Treatment of q-Calculus
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