Some Integrals involving generalized hypergeometric function

Authors

  • Jaime Castillo Pérez Universidad de la Guajira

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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Author Biography

  • Jaime Castillo Pérez, Universidad de la Guajira
    MSc en Matemática Aplicada, profesor titular, director del grupo de Investigación GIMA

References

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

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

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).

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.

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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Issue

Vol. 4 No. 7 (2008)

Section

Articles

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How to Cite

Castillo Pérez, J. (2008). Some Integrals involving generalized hypergeometric function. Ingeniería Y Ciencia, 4(7), 7-22. https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/224

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