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Infinite series of Kampé De Feriet’s Double hypergeometric function of higher order

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Abstract

Infinite series for Kampé de Feriet’s hypergeometric functions of two variables are established. Particular cases involving expansions of Appell’s functionsF [1],F [2],F [3] andF [4] are deduced.

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References

  1. Appell P. and Kampé de Feriet’s S.,Fonctions hypergéométriques et hypersphériques, Gauthier Villars, Paris, 1926.

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  2. Ragab F. M.,Expansions of Kampé de Feriet’s Double hypergeometric function of higher order, Journal fur die Reine und Angwendte Mathematik Band 212, Seite 113–119, 1963.

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Authors and Affiliations

  1. Madison, U S A

    F. M. Ragab

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  1. F. M. Ragab
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Additional information

Sponsored by the Mathematics Research Center, United States Army, Madison, Wisconsin, under Contract No.: DA-11-022-ORD-2059.

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Ragab, F.M. Infinite series of Kampé De Feriet’s Double hypergeometric function of higher order. Rend. Circ. Mat. Palermo 16, 225–232 (1967). https://doi.org/10.1007/BF02843754

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  • DOI: https://doi.org/10.1007/BF02843754

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