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A New Integral Involving the Product of Bessel Functions and Associated Laguerre Polynomials |
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| Authors: | R. S. Alassar H. A. Mavromatis S. A. Sofianos |
| Affiliation: | (1) Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia;(2) Physics Department, American University of Beirut, P.O. Box 11-0236, Beirut, Lebanon;(3) Physics Department, University of South Africa, P.O. Box 392, Pretoria, 0001, South Africa |
| Abstract: | A new result for integrals involving the product of Bessel functions and Associated Laguerre polynomials is obtained in terms of the hypergeometric function. Some special cases of the general integral lead to interesting finite and infinite series representations of hypergeometric functions. |
| Keywords: | Hypergeometric functions Bessel functions Associated Laguerre polynomials Gegenbauer polynomials Gamma function |
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