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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 2 | Year 2016 | Article Id. IJMTT-V37P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P517

Eulerian integral involving the multivariable I-function III


F.Y.Ayant
Abstract

In this paper, we derive two Eulerian integrals involving a product of two multivariable I-functions defined by Prasad [2], the Aleph-function of one variable, general class of polynomials of several variables and a extension of the Hurwitz-lerch Zeta-function. This general Eulerian integral formula is show to provide the key formula from which numerous others results for the multivariable I-function, H-function of several variables.

Keywords
multivariable I-function, Eulerian integral, Multivariable H-function, the Hurwitz-lerch Zeta-function, general class of polynomial,Alephfunction.
References

[1] Chaurasia V.B.L and Singh Y. New generalization of integral equations of fredholm type using Aleph-function Int. J. of Modern Math. Sci. 9(3), 2014, p 208-220.
[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 Hussain M.A. Fractional integration of the H-function of several variables. Comp. Math. Appl. 30(9), (1995), page 73-85.
[5] 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.
[6] 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
[7] Südland N.; Baumann, B. and Nonnenmacher T.F. , Open problem : who knows about the Aleph-functions? Fract. Calc. Appl. Anal., 1(4) (1998): 401-402.

Citation :

F.Y.Ayant, "Eulerian integral involving the multivariable I-function III," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 2, pp. 120-128, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P517

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