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On Definite Integrals Involving Elliptic Functions

✍ Scribed by Glaisher, J. W. L.


Book ID
120126765
Publisher
The Royal Society
Year
1879
Weight
613 KB
Volume
29
Category
Article
ISSN
0365-0855

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Integrals involving complete elliptic in
✍ Djurdje Cvijovic; Jacek Klinowski πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 79 KB

We give a closed-form evaluation of a number of Erdà 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.