Contour Integrals Involving Generalized Associated Function and Generalzed Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V59P529

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 3 | Year 2018 | Article Id. IJMTT-V59P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P529

Contour Integrals Involving Generalized Associated Function and Generalzed Multivariable Gimel-Function

Frédéric Ayant

Abstract

The aim of the paper is to evaluate some contour integrals involving generalized Legendre associated functions and the generalized multivariable Gimel-function where the integration is performed with respect to parameters of generalized Legendre associated functions

Keywords

Multivariable Gimel-function, multiple integral contours, contour integral, generalized Legendre functions

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), 238-287.
[3] B.L.J. Braaksma and B. Menlenbeld, Integral tranforms with generalized Legendre functions as kernel, Compositio Math. 18 (1962-1967), 239-341.
[4] C. Fox, The G aand H functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc. 98(1961), 395-429.
[5] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[6] J. Prathima and, V. Nambisan and S.K. Kurumujji, A Study of I-function of Several Complex Variables, International Journal of Engineering Mathematics Vol (2014), 1-12.
[7] H.M. Srivastava, K.C. Gupta and S.P. goyal, The H-function of one and two variables with applications, South Asian Publisher, New Delhi, Madras, 1982.
[8] 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.
[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, "Contour Integrals Involving Generalized Associated Function and Generalzed Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 3, pp. 191-201, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P529