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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 63 | Number 1 | Year 2018 | Article Id. IJMTT-V63P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P507

Images of multivariable Gimel-function and special functions pertaining to multiple Erdélyi-Kober operator of Weyl type


F.Y. Ayant
Abstract

The aim in this paper is to establish the images of the product of certain special functions and multivariable Gimel function with zt^h(t^u + c^u)^-p as an argument pertaining to the multiple Erdélyi-Saigo operator due to Galué et al. The results encompass several cases of interest for RiemannLiouville operators, Erdélyi-Kober operator and Saigo operators et cetera involving the product of certain special functions of general arguments.

Keywords
:Multivariable Gimel-function, multiple Erdélyi-Kober operator of Weyl type, General class of polynomials.
References

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[8] H.M. Srivastava and M. Garg, Some integral involving a general class of polynomials and multivariable H-function.
[9] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24 (1975),119-137.
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[11] G. Szego, Orthogonal polynomials. Amer. Math Soc. Colloq. Publ. 23, Fourth edition, amer, math, soc, Providence, Rhode Island (1975).

Citation :

F.Y. Ayant, "Images of multivariable Gimel-function and special functions pertaining to multiple Erdélyi-Kober operator of Weyl type," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 1, pp. 54-64, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P507

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