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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 1 | Year 2018 | Article Id. IJMTT-V60P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P501

Eulerian integrals of multivariable Gimel-function


Frédéric Ayant
Abstract

The main of the present paper is to evaluate a general Eulerian integral involving a product of two multivariable Gimel-function. By specializing the involved functions in this general Eulerian integral, we derived many Eulerian integrals.

Keywords
Multivariable Gimel-function, multiple integral contours, Eulerian integral.
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] 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.
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[8] H.S.P. Shrivastava, Eulerian integrals of multivariable generalized hypergeometric functions Vijnana Parishad Anusandhan Patrika, 41(4) (1998), 233-250.
[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 :

Frédéric Ayant, "Eulerian integrals of multivariable Gimel-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 1, pp. 1-8, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P501

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