CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF BESSEL FUNCTIONS OF THE FIRST KIND

• Journal title : Honam Mathematical Journal
• Volume 35, Issue 4,  2013, pp.667-677
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2013.35.4.667
Title & Authors
CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF BESSEL FUNCTIONS OF THE FIRST KIND
Choi, Junesang; Agarwal, Praveen;

Abstract
A remarkably large number of integrals involving a product of certain combinations of Bessel functions of several kinds as well as Bessel functions, themselves, have been investigated by many authors. Motivated the works of both Garg and Mittal and Ali, very recently, Choi and Agarwal gave two interesting unified integrals involving the Bessel function of the first kind $\small{J_{\nu}(z)}$. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present two generalized integral formulas involving a product of Bessel functions of the first kind, which are expressed in terms of the generalized Lauricella series due to Srivastava and Daoust. Some interesting special cases and (potential) usefulness of our main results are also considered and remarked, respectively.
Keywords
Gamma function;Hypergeometric function $\small{_2F_1}$;generalized hypergeometric function $\small{_pF_q}$;generalized (wright) hypergeometric functions $\small{_p{\Psi}_q}$;generalized hypergeometric series;generalized Lauricella series in several variables;cosine and sine trigonometric functions;Bessel function of the first kind;Oberhettinger's integral formula;
Language
English
Cited by
1.
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2.
SOME INTEGRALS ASSOCIATED WITH MULTIINDEX MITTAG-LEFFLER FUNCTIONS, Journal of applied mathematics & informatics, 2016, 34, 3_4, 249
3.
Certain fractional kinetic equations involving the product of generalized k-Bessel function, Alexandria Engineering Journal, 2016, 55, 4, 3053
4.
Integral Formulas Involving a Product of Generalized Bessel Functions of the First Kind, Kyungpook mathematical journal, 2016, 56, 1, 131
5.
Fractional kinetic equations involving generalized k -Bessel function via Sumudu transform, Alexandria Engineering Journal, 2017
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