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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 1 | Year 2017 | Article Id. IJMTT-V52P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P509

Certain infinite integral involving the M-serie, a general class of polynomials and multivariable Aleph-functions II


F.Y.Ayant
Abstract

In the present paper we evaluate an infinite integral with involving the product of M-serie, multivariable Aleph-functions 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.

Keywords
Multivariable Aleph-function, general class of polynomials, M-serie.
References

[1] Handa S. A study of Generalized Functions of one and two variables . Ph.D. Thesis. Univ. of Rajasthan , India.
[2] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[3] C.K. Sharma and P.L. mishra : On the I-function of two variables and its properties. Acta Ciencia Indica Math , 1991, Vol 17 page 667-672.
[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] Sharma M. Fractional integration and fractional differentiation of the M-series, Fractional calculus appl. Anal. Vol11(2), 2008, p.188-191.
[6] 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.

Citation :

F.Y.Ayant, "Certain infinite integral involving the M-serie, a general class of polynomials and multivariable Aleph-functions II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 1, pp. 64-73, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P509

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