...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 4 | Year 2018 | Article Id. IJMTT-V59P539 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P539

A Finite Double Integral Involving a General Multivariable Polynomial and 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, a general multivariable polynomial and the multivariable Gimel-function. Some new and interesting special cases og our main integral formula have been considered briefly.

Keywords
Multivariable Gimel-function, multiple integrals contour, double integrals, multivariable polynomial
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] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[5] 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.
[6] S.S. Soni and A.K. Rathie, Integrals involving H-function, Vijnana Parishad Anusandhan Patrika, 26(1983); 293- 296.
[7] H.M. Srivastava, A contour integral involving Fox’s H-function, Indian. J. Math. 14(1972), 1-6.
[8] H.M. Srivastava, A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page 183-191.
[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, "A Finite Double Integral Involving a General Multivariable Polynomial and Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 4, pp. 276-285, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P539

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved