A Closed Form Evaluation of the Elliptic Integral

DOI10.2307/2005214zbMath0217.11002OpenAlexW4245592802MaRDI QIDQ5620820

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Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2005214

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Elliptic functions and integrals (33E05)

Related Items (7)

Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli ⋮ 70+ years of the Watson integrals ⋮ The evaluation in terms of Γ-functions of the periods of elliptic curves admitting complex multiplication ⋮ Evaluation of integrals and the Mellin transform ⋮ Special values of the hypergeometric series ⋮ An Elliptic Integral Identity ⋮ Theta-function identities and the explicit formulas for theta-function and their applications

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