Extension of Exton’s hypergeometric function K16

• Autores: Ahmed Ali Atash, Maisoon Ahmed Kulib
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 23, Nº. 3, 2021, págs. 489-501
• Idioma: inglés
• DOI: 10.4067/S0719-06462021000300489
• Enlaces
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• Resumen
  • español

    RESUMEN El propósito de este artículo es introducir una extensión de la función hipergeométrica de Exton K16 usando la función beta extendida dada por Özergin et al. [11]. Se obtienen algunas representaciones integrales, funciones generatrices, relaciones de recurrencia, fórmulas de transformación, fórmulas de derivadas y fórmulas de sumación para esta función extendida. Se consideran también algunos casos especiales de los resultados principales de este artículo.

  • English

    ABSTRACT The purpose of this article is to introduce an extension of Exton’s hypergeometric function K16 by using the extended beta function given by Özergin et al. [11]. Some integral representations, generating functions, recurrence relations, transformation formulas, derivative formula and summation formulas are obtained for this extended function. Some special cases of the main results of this paper are also considered.

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