Estimation of certain integrals with extended multi-index Bessel function

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Authors :

M. Kamarujjama 1 , N.U. Khan 2 and Owais Khan 3 *

Author Address :

1,2,3 Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India.

*Corresponding author.

Abstract :

This article is refers to the study of the generalized multiindex Bessel functions, which play a ubiquitous role in wide range of diverse fields such as acoustic field, electromagnetism, heat, hydrodynamics, wave motion, elasticity and optical science. Here we aim at presenting an extension of generalized multi-index Bessel function and established some interesting integral transforms involving the extended generalized multi-index Bessel function, which are expressed in terms of generalized Wright hypergeometric function $_{r}Psi_{s}[cdot]$ and Fox H-function. We also point out their relevance with known results.

Keywords :

Generalized multiindex Bessel function, Fox-Wright function, Fox-H function and Integrals.

DOI :

10.26637/MJM0702/0011

Article Info :

Received : December 18, 2018; Accepted : March 09, 2019.

 

 

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