TRIPLE SERIES EQUATIONS INVOLVING GENERALIZED LAGUERRE POLYNOMIALS
By
*Omkar Lal Shrivastava¹ , Kuldeep Narain² and Sumita Shrivastava³
¹Department of Mathematics, Government Kamladevi Rathi Girls Postgraduate College, Rajnandgaon, Chhattisgarh, India-491441
²Department of Mathematics, Kymore Science College, Kymore, Madhya Pradesh, India-483880
³Department of Economics, Government Digvijay Postgraduate College, Rajnandgaon, Chhattisgarh, India-491441
Email: omkarlal@gmail.com, kuldeepnarain2009@gmqail.com, sumitashrivastava9@gmail.com
* Corresponding author email: omkarlal@gmail.com
(Received: November 05, 2022; In format: November 10, 2022’ Revised: April 04, 2023; Accepted: April 08, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53125
Abstract
In this paper, the solutions of two sets of triple series equations involving generalized Laguerre polynomials have been obtained by reducing them to a Fredholm integral equation of second kind. In each case, the problem is reduced to the solution of a Fredholm integral equation of the second kind. We consider certain triple series equations involving generalized Laguerre polynomials which are generalization of those considerd by Lawndes-Srivastava .Connected to this work solutions have been considered by Sneddon, Lowndes and Srivastava ,Dwivedi and Trivedi, Singh et al., Narain, Srivastava - Panda etc.
2020 Mathematical Sciences Classification: 45XX, 45F10, 33C45.
Keywords and Phrases: Triple Series equations, generalized Laguerre polynomials, Fredholm integral equation.