Triple Series Relations Involving Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V57P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 2 | Year 2018 | Article Id. IJMTT-V57P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P515

Triple Series Relations Involving Multivariable Gimel-Function

Frédéric Ayant

Abstract

Agrawal [5] given triple series relations about the H-function of two variables. In this paper, we have established two triple infinite series relations concerning the multivariable Gimel-function defined here. On specialization of the parameters, a number of interesting triple, double and single series relations involving simpler functions of one or several variables that occur rather frequently in problems of Applied Mathematics and Mathematical physics problems can be deduced as particular cases from our results.

Keywords

Generalized multivariable Gimel-function, multiple integral contours, double series relations

References

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[5] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika, 29 (1986) , 231-237.
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[7] 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.
[8] H.M. Srivastava and R.Panda, Some expansion theorems and generating relations for the H-function of several complex variables II. Comment. Math. Univ. St. Paul. 25 (1976), 167-197.

Citation :

Frédéric Ayant, "Triple Series Relations Involving Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 2, pp. 99-105, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P515