IDENTITIES ABOUT INFINITE SERIES CONTAINING HYPERBOLIC FUNCTIONS AND TRIGONOMETRIC FUNCTIONS

DOI10.11568/KJM.2011.19.4.465OpenAlexW4244153227MaRDI QIDQ5863362

Sung-Geun Lim

Publication date: 11 March 2022

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2011.19.4.465

zbMATH Keywords

infinite seriesEisenstein seriesmodular transformation

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

• Modular transformations and generalizations of several formulae of Ramanujan
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• Infinite series identities from modular transformation formulas that stem from generalized Eisenstein series
• Two New Proofs of Lerch's Functional Equation
• Unnamed Item

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