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http://dx.doi.org/10.14317/jami.2018.397

ON INTEGRAL OPERATORS INVOLVING THE PRODUCT OF GENERALIZED BESSEL FUNCTION AND JACOBI POLYNOMIAL  

KHAN, WASEEM A. (Department of Mathematics, Faculty of Science, Integral University)
GHAYASUDDIN, M. (Department of Mathematics, Faculty of Science, Integral University)
SRIVASTAVA, DIVESH (Department of Mathematics, Faculty of Science, Integral University)
Publication Information
Journal of applied mathematics & informatics / v.36, no.5_6, 2018 , pp. 397-409 More about this Journal
Abstract
The aim of this research note is to evaluate two generalized integrals involving the product of generalized Bessel function and Jacobi polynomial by employing the result of Obhettinger [2]. Also, by mean of the main results, we have established an interesting relation in between $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ and Srivastava and Daoust functions. Some interesting special cases of our main results are also indicated.
Keywords
Generalized Bessel function; Jacobi polynomial; $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ function; Srivastava and Daoust function and integrals;
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