Volume 56 | Number 3 | Year 2018 | Article Id. IJMTT-V56P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P522
The object of this paper is to establish a general theorem pertaining to a product of class of polynomials and multivariable Gimel-function. Certains integrals are also obtained by application of the theorem. The theorem is quite general nature and capable of yielding a number of new, interesting and useful integrals as its special cases.
[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] L.J. Slater, Generalized hypergeometric function, Cambridge University press, Cambridge, 1966.
[6] H.M. Srivastava, A contour integral involving Fox’s H-function, Indian. J. Math. 14(1972), 1-6.
[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.
[9] H.M. Srivastava and N.P. Singh, The integration of certains products of the multivariable H-function with a general class of polynomials, Rend. CirC. Mat. Palermo. 32(2)(1983), 157-187.
Frédéric Ayant, "A theorem concerning a product of polynomials and multivariable Gimel-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 3, pp. 153-158, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P522