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PROPERTIES AND FURTHER GENERALIZATION ON THE EXTENSION OF τ-GAUSS HYPERGEOMETRIC FUNCTION

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Recently, an extension of τ Gauss hypergeometric function was obtained in terms of the extended version of the pochhammer symbol[11]. We have established some properties on further generalization of the extended τ Gauss hypergeometric function containing extra parameters. We have also established some other properties and relationships involving the integral representations, derivative formulas and Mellin transforms.

Abstract

Recently, an extension of τ Gauss hypergeometric function was obtained in terms of the extended version of the pochhammer symbol[11]. We have established some properties on further generalization of the extended τ Gauss hypergeometric function containing extra parameters. We have also established some other properties and relationships involving the integral representations, derivative formulas and Mellin transforms.

참고문헌 (12)

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  7. "2019", ~
  8. S.Mubeen, "An extended beta function and its properties", Far. East J. Math. Sci, 102, pp.1545~1557 (2017)
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  10. H.M.Srivastava, "The Incomplete Pochhammer Symbol and their applications to hypergeometric and related functions", Integral Transforms spec. Funct, 23, pp.659~683 (2012)
  11. H.M.Srivastava, "A Class of Extended Fractional Derivative Operators and Associated Generating Relations Involving Hypergeometric Functions", Axioms, 1, pp.238~258 (2012)
  12. N.Virchenko, "On some generalizations of the functions of hypergeometric types", Frac. Calc. Appl. Anal, 2, pp.233~244 (1999)

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