On Integration with respect to their parameters

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V56P524

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 3 | Year 2018 | Article Id. IJMTT-V56P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P524

On Integration with respect to their parameters

Frédéric Ayant

Abstract

In the present paper some interesting results have been obtained on integrating the multivariable Gimel-function defined in this document with respect to its parameters. Results obtained are important in connection with the study of the problems of applied Mathematics and certain boundary value problems.

Keywords

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] A. Erdelyi, W. Magnus, F. Oberhettinger transforms and F.G. Tricomi, Tables of integrals, Vol II, McGraw-Hill, New York (1954).
[4] A. Goyal and R.D. Agrawal, Integral involving the product of I-function of two variables, Bull. Pure and Apli. Sci. India, (Under printing), 15E(1996)
[5] A. Goyal and R.D. Agrawal, On integration with respect to their parameters, Journal of M.A.C.T. , 19(1996), 177- 185.
[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 and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables. Comment certain of. Math. Univ. St. Paul. 24 (1975),119-137.
[9] 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, "On Integration with respect to their parameters," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 3, pp. 165-172, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P524