A Study of Unified Finite Integrals Involving Generalized Modified Bessel Function of Third Kind, (λŋµ,ʋ) General Class of Polynomials and the Multivariable Gimel-Function

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V62P514

International Journal of Mathematics Trends and Technology

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Volume 62 | Number 2 | Year 2018 | Article Id. IJMTT-V62P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P514

A Study of Unified Finite Integrals Involving Generalized Modified Bessel Function of Third Kind, (λŋµ,ʋ) General Class of Polynomials and the Multivariable Gimel-Function

F.Y.Ayant

Citation :

F.Y.Ayant, "A Study of Unified Finite Integrals Involving Generalized Modified Bessel Function of Third Kind, (λŋµ,ʋ) General Class of Polynomials and the Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 2, pp. 97-103, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P514

Abstract

In this paper,we first evaluate a unified and general finite integral whose integrand involves the product of the function , the class of polynomials and the multivariable Gimel function. The arguments of the function occurring in the integrand involve the product of factors of the form . On account of the most general nature og our main findings, a large number of new and known integrals can easily be obtained from it merely by specializing the functions and parameters involved therein. At the end of this paper, we shall give two particular cases.

Keywords

Generalized Bessel function of third kind, multivariable Gimel-function, class of polynomials, H-function.

References

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