On incomplete elliptic integrals related to Ramanujan's theta functions

DOI10.1007/S41478-022-00414-0OpenAlexW4220952631WikidataQ114217538 ScholiaQ114217538MaRDI QIDQ2093861

K. R. Vasuki, Guillaume Vinay

Publication date: 27 October 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00414-0

zbMATH Keywords

Eisenstein seriestheta functionsmodular equationsincomplete elliptic integrals

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Cites Work

• On certain new differential equations for ratio of theta functions
• Ramanujan's Theta Functions
• “cases? for φ also” a question raised by Ramanujan
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