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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 5 | Year 2018 | Article Id. IJMTT-V59P541 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P541

Double Integrals Involving Multivariable Gimel-Function


F.Y.Ayant
Abstract

In this paper we evaluate a general finite double integral involving the product of algebric and exponenetial functions and the multivariable Gimelfunction. Some new and interesting special cases og our main integral formula have been considered briefly.

Keywords
Multivariable Gimel-function, multiple 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.
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[6] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[7] 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.
[8] H.M. Srivastava, A contour integral involving Fox’s H-function, Indian. J. Math. 14(1972), 1-6.
[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.
[11] H.M. Srivastava and N.P. Singh, The integration of certains products of the multivariable H-function with a general class of polynomials, Rend. CirC. Mat. Palermo. 32(2)(1983), 157-187.

Citation :

F.Y.Ayant, "Double Integrals Involving Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 5, pp. 293-299, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P541

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