Integrals involving complete elliptic integrals

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چکیده

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Integrals involving complete elliptic integrals

We give a closed-form evaluation of a number of Erd elyi-Kober fractional integrals involving elliptic integrals of the rst 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. c © 1999 Elsevier Science B.V. All rights reserved.

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 1999

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(99)00066-7