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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 35 | Number 1 | Year 2016 | Article Id. IJMTT-V35P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P510

Evaluation of certain finite integrals


F.Y Ayant
Abstract

In this paper, we evaluate two finite integrals involving the product of a generalized hypergeometric function, general class of multivariable polynomials, Aleph-function of one variable and generalized multivariable Aleph-function.The mains results of our document are quite general in nature and capable of yielding a very large number of integrals involving polynomials and various special functions occuring in the problem of mathematical analysis and mathematical physics and mechanics.

Keywords
generalized multivariable Aleph-function, Aleph-function, class of multivariable polynomials, generalized hypergeometric function, finite integral.
References

[1] Ayant F.Y. An integral associated with the Aleph-functions of several variables. International Journal of Mathematics Trends and Technology (IJMTT). 2016 Vol 31 (3), page 142-154.
[2] 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.
[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[4] Sharma K. On the integral representation and applications of the generalized function of two variables , International Journal of Mathematical Engineering and Sciences , Vol 3 , issue1 ( 2014 ) , page1-13.
[5] 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.
[6] 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.
[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, "Evaluation of certain finite integrals," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 1, pp. 64-76, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P510

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