Some multivariable Gaussian hypergeometric extensions of the Preece theorem

• Autores: M.A. Pathan, N.U. Khan, M. I. Qureshi, M. Sadiq Khan
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 48, Nº 1, 2006, págs. 143-150
• Idioma: inglés
• DOI: 10.1017/s1446181100003473
• Texto completo no disponible (Saber más ...)
• Resumen

  • Some generalisations of the Preece theorem involving the product of two Kummer's functions are obtained using Dixon's theorem and some well-known identities. Its special cases yield various new transformations and reduction formulae involving Pathan's quadruple hypergeometric function and Srivastava's quadruple hypergeometric function and triple hypergeometric function . Some known results of Preece, Pathan and Bailey are also obtained as special cases.