Some Integrals Involving Multivariable Gimel-Function

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V59P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 2 | Year 2018 | Article Id. IJMTT-V59P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P512

Some Integrals Involving Multivariable Gimel-Function

F.Y.Ayant

Abstract

The object of the present paper is to evaluate two integrals involving multivariable Gimel-function defined here. The integrals are quite general character. A number of integrals can be evaluated by appropriately reducing the multivariable Gimel-function involved into simpler functions.

Keywords

Multivariable Gimel-function, integrals contour, double integrals

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] B.L.J. Braaksma, Asymptotics expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1962-1964), 239-341.
[3] T.M. MacRobert, Beta function formulae and integrals involving E-function, Math. Ann., 142(5) (1961), 450-452.
[4] A.M. Mathai and R.K. Saxena, Generalized hypergeometric functions with applications in Statistics and Physical Sciences, Springer-Verlag, Berlin, Heidelberg, New York (1973).
[5] R. Mathur and C. Tulsiani, Some integrals involving multivariable H-function, Vijnana Parishad Anusandhan Patrika, 30(1) (1987), 49-55.
[6] P.C. Munot and R. Mathur, Certain integral relations for the multivariable H-function, Indian J. Pure Appl. Math. 14(8) (1983), 955-964.
[7] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[8] 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.
[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.
[10] 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 :

F.Y.Ayant, "Some Integrals Involving Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 2, pp. 77-84, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P512