International Journal of Mathematics Trends and Technology
Volume 57 | Number 2 | Year 2018 | Article Id. IJMTT-V57P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P513
The aim of the present paper is to evaluate four finite integrals involving the product of Jacobi polynomials and the generalized multivariable Gimelfunction with general arguments. These integrals have been utilized to derive the expansion formula for generalized multivariable Gimel-function in series involving Jacobi polynomials.
[1]P. Anandani and H.S.P. Shrivastava, On Mellin transform involving Fox’s H-function and generalized function of two variables, Comment. Math. Univ. St. Pauli 21(2) (1972), 35-42.
[2] F. Ayant, An integral associated the Aleph-functions of several variables. International Journal of Mathematics Trends and Technology (IJMTT), 31(3) (2016), 142-154.
[3] B.L.J. Braaksma, Asymptotics expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1962-1964), 239-341.
[4] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[5] 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.
[6] E.D. Rainville, Special functions, Macmillan Co, New York, (1960).
[7] 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.
[8] 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.
Frédéric Ayant, "On Certain Expansion for Generalized Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 2, pp. 85-94, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P513
PDF 
Abstract 
Keywords 
References 
Citation