Integrals involving complete elliptic integrals |
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Affiliation: | Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, UK |
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Abstract: | We give a closed-form evaluation of a number of Erdélyi-Kober fractional integrals involving elliptic integrals of the first 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. |
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