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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 7 | Year 2017 | Article Id. IJMTT-V52P570 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P570

A Finite Single Integral Representation for the Polynomial Set Tn(x1,x2,x3,x4)


Ahmad QuaisarSubhani, Brijendra Kumar Singh
Abstract

In the present paper an attempt has been made to express a Finite Single Integral Representation for the Polynomial set Tn (x1 ,x2 ,x3 ,x4 ).Many interesting new results may be obtained as particular caseson specializing the parameters.

Keywords
Appell function, Lauricella form, Generalized hypergeometric polynomial, Integral Representation
References

[1] J.L. Burchnalland T.W. Chaundy, Expansions of Appell's double hyper geometric functions, Quart. J. Math. Oxfordser. 12,112 -128(1941).
[2] E.D. Rainville, Special functions. Macmillan Co. New York(1960).
[3] BrijendraKumar SinghAndD.NSingh, Some Integral Involving for the PolynomialSet Tn(x,y). The Math. Edu.Vol. XX, No. 1, p. 37-43(1986).
[4] H.M.Srivastava andH.LMonocha, Atreatise on generating functions. Halsted Press John Willey and Sons, New York (1984).
[5] HaroldExton, Multiple Hypergeometric functions and applications, Ellis Horwood Limited, Chichester, U.K(1976).

Citation :

Ahmad QuaisarSubhani, Brijendra Kumar Singh, "A Finite Single Integral Representation for the Polynomial Set Tn(x1,x2,x3,x4)," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 7, pp. 490-497, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P570

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