Integrals associated with Ramanujan and elliptic functions

DOI10.1007/S11139-016-9793-1zbMath1354.33015OpenAlexW2341783520MaRDI QIDQ2520584

Bruce C. Berndt

Publication date: 16 December 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9793-1

zbMATH Keywords

Jacobian elliptic functionsdefinite integralsRamanujan's notebooks

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Related Items (2)

Generalizations and applications of Srinivasa Ramanujan's integral associated with infinite Fourier sine transforms in terms of Meijer's \(G\)-function ⋮ Some evaluation of infinite series involving trigonometric and hyperbolic functions

Cites Work

• On a family of orthogonal polynomials related to elliptic functions
• Tenth order mock theta functions in Ramanujan’s lost notebook (IV)
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
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