Definite integrals of the complete elliptic integral K

DOI10.6028/jres.080B.032zbMath0339.33001MaRDI QIDQ4106467

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Publication date: 1976

Published in: Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Elliptic functions and integrals (33E05)

Related Items (10)

Epstein-Hubbell elliptictype integral and its generalizations ⋮ Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals ⋮ New Clebsch–Gordan‐type integrals involving threefold products of complete elliptic integrals ⋮ Moments of products of elliptic integrals ⋮ Legendre functions, spherical rotations, and multiple elliptic integrals ⋮ Pathologies of the large-\(N\) limit for \(\mathbb{RP}^{N-1}\), \(\mathbb{CP}^{N-1}\), \(\mathbb{QP}^{N-1}\) and mixed isovector/isotensor \(\sigma\)-models ⋮ Dynamics of \(\mathbb CP^1\) lumps on a cylinder ⋮ Evaluation of integrals and the Mellin transform ⋮ A combinatorial identity ⋮ Harmonic sums from the Kummer theorem

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