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Original Articles

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

Pages 179-191 | Received 31 May 2006, Published online: 19 Mar 2007

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Read on this site (3)

Yu-Ming Chu, Ye-Fang Qiu & Miao-Kun Wang. (2012) Hölder mean inequalities for the complete elliptic integrals. Integral Transforms and Special Functions 23:7, pages 521-527.
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Djurdje Cvijović. (2010) The Fourier series expansions of the Legendre incomplete elliptic integrals of the first and second kind. Integral Transforms and Special Functions 21:3, pages 235-242.
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J.T. Conway. (2008) Fourier series for elliptic integrals and some generalizations via hypergeometric series. Integral Transforms and Special Functions 19:5, pages 305-315.
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Articles from other publishers (3)

Robert S. Maier. (2016) Legendre functions of fractional degree: transformations and evaluations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472:2188, pages 20160097.
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Howard S. Cohl & Diego E. Dominici. (2010) Generalized Heine’s identity for complex Fourier series of binomials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467:2126, pages 333-345.
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Jerry Selvaggi, Sheppard Salon & M. V. K. Chari. (2008) The vector potential of a circular cylindrical antenna in terms of a toroidal harmonic expansion. Journal of Applied Physics 104:3.
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