Finie Triple Series Relation Involving the Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V60P514

International Journal of Mathematics Trends and Technology

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Volume 60 | Number 2 | Year 2018 | Article Id. IJMTT-V60P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P514

Finie Triple Series Relation Involving the Multivariable Gimel-Function

Frédéric Ayant

Abstract

The aim of this paper is to establish four finite triple series relation involving the multivariable Gimel-function defined here. These relations aer quite general in nature, from which a large number of relations can be obtained simply by specializing the parameters of the multivariable Gimel-function.

Keywords

Multivariable Gimel-function, multiple integral contours, finite triple series.

References

[1] F. Ayant, An integral associated with the Aleph-functions of several variables. International Journal of Mathematics Trends and Technology (IJMTT), 31(3) (2016), 142-154.
[2] R.C. Bohara, S.P. Goyal and U.C. Jain, Finite triple series relation involving the multivariable H-function, Indian Journal of Mathematics, 30(1), (1988), 41-47.
[3] B.L.J. Braaksma, Asymptotics expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1962-1964), 239-341.
[4] K. M. Pradhan, Sum of a triple hypergeometric seres, math Education, 10(1976), A33-A34.
[5] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[6] J. Prathima, V. Nambisan and S.K. Kurumujji, A Study of I-function of Several Complex Variables, International Journal of Engineering Mathematics Vol (2014), 1-12.
[7] R.K. Saxena, C. Ram and H. Singh, Finite triple relations involving multivariable I-function, Vijnana Parishad Anusandhan Patrika, 44(2) (2001), 149-160.
[8] 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.
[9] 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, "Finie Triple Series Relation Involving the Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 2, pp. 90-96, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P514