International Journal of Mathematics Trends and Technology
Volume 33 | Number 2 | Year 2016 | Article Id. IJMTT-V33P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P514
In this paper we obtain four finite double sums of Kamp´e de F´eriet’s double hypergeometric function of higher order using Gauss’s summation theorem. Associated and contiguous relations for Kummer’s confluent hypergeometric function, Gauss’s ordinary hypergeometric function, Saalsch¨utz’s summation theorem, double sums involving Appell, Humbert, Karlsson, Bessel functions, are obtained as special cases of our main double summations.
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Mohammad Idris Qureshi, Deepak Kumar Kabra, Yasmeen, "Finite Double Sums of Kampe de Feriet's Hypergeometric Function of Higher Order," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 2, pp. 104-111, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P514
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