International Journal of Mathematics Trends and Technology
Volume 49 | Number 1 | Year 2017 | Article Id. IJMTT-V49P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V49P509
In the present paper we evaluate a general integral involving the product of the extension of the Hurwitz-Lerch Zeta function, product of two Bessel functions and product of two the multivariable I-functions defined by Prasad [4] and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the Aleph-function of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.
[1] Luke Y.K. Bessel functions . Midwest. Research. Institute.Kansas City. Missouri (1962).
[2] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[3] Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191.
[4] 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), p.119-137.
[5] H.M. Srivastava, R.K. Saxena, T.K. Pogány, R. Saxena, Integral and computational representations of the extended Hurwitz–Lerch zeta function, Integr.Transf. Spec. Funct. 22 (2011) 487–506.
F.Y.Ayant, "Integral involving the extension of the Hurwitz-Lerch Zeta function, Bessel functions, a class of polynomials and multivariable I-functions III," International Journal of Mathematics Trends and Technology (IJMTT), vol. 49, no. 1, pp. 74-83, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V49P509
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