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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...