Fractional derivative associated with the multivariable I-function,
 the generalized Wright function and multivariable polynomials

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V44P531

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 4 | Year 2017 | Article Id. IJMTT-V44P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P531

Fractional derivative associated with the multivariable I-function, the generalized Wright function and multivariable polynomials

F.Y.Ayant

Abstract

The aim of present paper is to derive a fractional derivative of the multivariable I-function of Prathima [4], associated with a general class of multivariable polynomials defined by Srivastava [8], the I-function of one variable defined by Rathie, the generalized Wright function and the generalized Lauricella functions defined by Srivastava and Daoust [9]. We will see the case concerning the multivariable H-function. The results derived here are of a very general nature and hence encompass several cases of interest hittherto scattered in the literature.

Keywords

multivariable I-function, I-function, class of multivariable polynomials, fractional derivative, Lauricella function, binomial expansion, Hfunction of several variables, Wright function.

References

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Citation :

F.Y.Ayant, "Fractional derivative associated with the multivariable I-function, the generalized Wright function and multivariable polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 4, pp. 197-205, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P531