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Fractional Derivative Associated with the Multivariable Polynomials

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Abstract

The aim of this paper is to derive a fractional derivative of the multivariable H-function of Srivastava and Panda [7], associated with a general class of multivariable polynomials of Srivastava [4] and the generalized Lauricella functions of Srivastava and Daoust [9]. Certain special cases have also been discussed. The results derived here are of a very general nature and hence encompass several cases of interest hitherto scattered in the literature.

참고문헌 (7)

  1. V. B. L. Chaurasia, "Fractional derivative of the multivariable polynomials", 26, pp.1~8 (2003)
  2. C. K. Sharma, "Fractional derivatives of the Lauricella functions and the multivariable H-function", pp.165~170 (1991)
  3. H. M. Srivastava, "A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials", pp.157~191 (1985)
  4. H. M. Srivastava, "Fractional derivatives of the H-function of several variables", pp.641~651 (1985)
  5. H. M. Srivastava, "The H-Functions of One and Two Variables with Applications" (1982), South Asian Publishers
  6. H. M. Srivastava, "Some bilateral generating functions for a class of generalized hypergeometric polynomials", pp.265~274 (1976)
  7. H. M. Srivastava, "Certain generalized Neuman expansions associated with the Kamp??e de F??eriet function", pp.449~457 (1969)

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