...

  • 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-V59P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P531

Some Integrals Involving Generalized Multivariable Gimel-Function


Frédéric Ayant
Abstract

In this paper some finite and infinite integrals involving products of the hypergeometric function and generalized multivariable Gimel-function. On specializing the parameters of the functions involved in the integrands, new results can be obtained as particular cases, we do not treat the particular cases in this study.

Keywords
Multivariable Gimel-function, multiple integral contours, hypergeometric function, 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] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[4] 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.
[5] B.L. Sharma, Integrals involving G-function, Seminario Mat. De Barcelona, 16(1) (1964), 3-12.
[6] 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.
[7] 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, "Some Integrals Involving Generalized Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 4, pp. 209-217, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P531

  • 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