Some Integrals involving generalized hypergeometric function

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Jaime Castillo Pérez

Keywords

generalized hypergeometric function, generalized gamma function

Abstract

Recently Virchenko et al have treated a generalized gamma function (see pdf article) is the generalized hypergeometric function presented for Dotsenko in 1991. The object of this paper is to obtain some more results involving especial case of this function and computational forms as obtained.

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References

[1] Nina A. Virchenko. On some generalizations of the functions of hypergeometric type. Fractional Calculus & Applied Analysis, ISSN 1311–0454, 2(3), 233–244 (1999).

[2] Jaime Castillo y Carlos Jiménez Ruiz. Algunos resultados sobre la función hipergeométrica generalizada. Ingeniería y Ciencia, ISSN 1794–9165, 2(4), 75–94 (2006).

[3] Jaime Castillo. Algunas integrales impropias con límites de integración infinitos que involucran a la generalización T de la función hipergeométrica de Gauss. Ingeniería y Ciencia, ISSN 1794–9165, 3(5), 67–85 (2007).

[4] Anatolii Platonovich Prudnikov, Yurii Aleksandrovich Brychkov and Oleg Igorevich Marichev. Integrals and Series, ISBN 2 88124–682–6, New York: Gordon and Breach Science Publishers, 3, 1990.

[5] N. Virchenko, S. L. Kalla and A. Al–Zamel. Some results on a generalized hy- pergeometric function. Integral Transforms and Special Function, 12(1), 89–100 (2001).

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