International Journal of Mathematics Trends and Technology
Volume 57 | Number 2 | Year 2018 | Article Id. IJMTT-V57P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P519
In this paper, we present a double expansion formula for the generalized multivariable Gimel-function involving Jacobi polynomials and Bessel functions.
[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] I.S. Gradsteyn and I.M. Ryzhik, Tables of integrals, Series and Product, Academic press, New York (1980).
[5] Y.L. Luke, Integrals of Bessel functions, McGraw Hill, New York (1962).
[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. 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.
Frédéric Ayant, "A Double Expansion Formula for Generalized Multivariable Gimel-Function Involving Jacobi Polynomials and Bessel Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 2, pp. 128-135, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P519
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