Integral Involving Srivastava’s Polynomials, Aleph Function and Generalized Mittag-Leffler Function of Several Complex Variables
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Abstract
The aim of present paper is to derive an integral pertaining to a product of Srivastava’s Polynomials [3], Aleph function [1] and Generalized Mittag-Leffler function [2] with general arguments of quadratic nature. The integral thus obtained is believed to be one of the most general integral established so far. The results derived by using certain special cases used in this paper are interesting and very general in nature.
Keywords: Aleph function, Generalized Mittag-Leffler functions and generalized polynomials.
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References
N. Sudland, B. Baumann, and T. F. Nonnenmacher “Open Problem: Who Knows about the Aleph-function?â€, Fract. Calc. Appl. Anal., 1998, 4, 401-402.
Prabhakar, and T. R. Prabhakar, “singular integral equation with a generalized Mittag Leffler function in the kernelâ€, Yokohama Math. J., 1971, 19, 7–15.
H. M. Srivastava, “A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomialsâ€, Pacific J. Math., 1985, 117, 183-191.
B. L. J. Braaksma, “Asymptotic expansions and analytic continuations for a class of Barnes integralsâ€, Compositio Math., 1963, 15, 239-341.
C. K. Sharma and S. S. Ahmad, “On the multivariable I-functionâ€, Acta ciencia Indica Math, 1994, 20(2), 113-116.
R. K. Saxena, “An integral involving G-functionâ€, Proc Nat. Inst. Sci. India., 1960, 26, 661-664.
V. P. Saxena, “ The I-Functionâ€, Anamaya Publishers, New Delhi, 2008.
A. M. Mathai, R. K. Saxena and H. J. Haubold, “The H-function: Theory and Applicationsâ€, Springer, New York, 2010.
H. M. Srivastava and R. Panda, “Some bilateral generating function for a class of generalized hypergeometric polynomialsâ€, J. Raine Angew. Math., 1996, 283/284, 265-274.
V. B. L. Chaurasia and A. S. Shekhawat, “An integral involving general polynomials and the H-function of several complex variablesâ€, Tamkang Journal of Mathematics, 2005, 36(3), 255-260.