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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 2 | Year 2018 | Article Id. IJMTT-V56P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P516

Integration of certain generalized Gimel-function with respect to their parameters


Frédéric Ayant
Abstract

The object of the present paper is to establish four integrals associated with generalized multivariable Gimel-function defined here. The integration is perfomed with respect to a parameter. Such integrals are useful in the study of certain boundary value problems.

Keywords
Generalized multivariable Gimel-function, multiple integral contours, integration with respect to a parameter.
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] 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.
[6] 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.
[7] E.T. Whittaker end G.N. Watson, A course of modern analysis, Cambridge Univ. Press., Cambridge, (1952).

Citation :

Frédéric Ayant, "Integration of certain generalized Gimel-function with respect to their parameters," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 2, pp. 113-119, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P516

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