Integrals associated with Ramanujan and elliptic functions

Bruce C. Berndt

doi:10.1007/s11139-016-9793-1

Integrals associated with Ramanujan and elliptic functions

Bruce C. Berndt

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We evaluate in closed form certain classes of infinite integrals containing trigonometric and hyperbolic trigonometric functions in their integrands. Although not apparent, the integrals are related to Jacobian elliptic functions, in particular, to theorems found in Ramanujan’s notebooks. One of our evaluations answers a question first posed by M. E. H. Ismail.

Original language	English (US)
Pages (from-to)	369-389
Number of pages	21
Journal	Ramanujan Journal
Volume	41
Issue number	1-3
DOIs	https://doi.org/10.1007/s11139-016-9793-1
State	Published - Nov 1 2016

Keywords

Definite integrals
Jacobian elliptic functions
Ramanujan’s notebooks

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1007/s11139-016-9793-1

Library availability

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Integrals associated with Ramanujan and elliptic functions

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

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