Fourier and other series containing associated Legendre functions for incomplete Epstein–Hubbell integrals and functions related to elliptic integrals

DOI10.1080/10652460701210284zbMath1133.42005OpenAlexW2061781508MaRDI QIDQ3438820

John T. Conway

Publication date: 29 May 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701210284

zbMATH Keywords

Fourier series

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Related Items (3)

Hölder mean inequalities for the complete elliptic integrals ⋮ Fourier series for elliptic integrals and some generalizations via hypergeometric series ⋮ The Fourier series expansions of the Legendre incomplete elliptic integrals of the first and second kind

Cites Work

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• Some families of generalized elliptic-type integrals
• Fourier series for the Legendre elliptic integrals

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