On closed-form solutions of triple series equations involving Laguerre polynomials

We consider some triple series equations involving generalized Laguerre polynomials. These equations are reduced to triple integral equations for Bessel functions. The closed-form solutions of the triple integral equations for Bessel functions are obtained and, finally, we get the closed-form soluti...

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Bibliographic Details
Date:2010
Main Authors: Dhaliwal, R.S., Rokne, J., Singh, B. M., Дналивал, Р.С., Рокне, Ж., Сінгх, Б. М.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2859
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal