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On Definite Integrals Involving Elliptic Functions

✍ Scribed by J. W. L. Glaisher

Book ID: 124426137
Publisher: The Royal Society
Year: 1879
Weight: 722 KB
Volume: 29
Category: Article
ISSN: 0365-0855
DOI: 10.2307/113779

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📜 SIMILAR VOLUMES

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We give a closed-form evaluation of a number of ErdÃ elyi-Kober fractional integrals involving elliptic integrals of the ÿrst and second kind, in terms of the 3F2 generalized hypergeometric function. Reduction formulae for 3F2 enable us to simplify the solutions for a number of particular cases.