Certain simultaneous five tuple series equations involving laguerre polynomials

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Certain simultaneous five tuple series equations involving laguerre polynomials

Author:

P.K. MATHUR1 and ANJANA SINGH2

Affiliation:

¹Department of Mathematics,Saifia Science College, Bhopal, M.P. (INDIA)
²Department of Mathematics, Rajeev Gandhi Engineering College, Salaiya, Kolar, Bhopal, M.P. (INDIA)

Keyword:

45F 10 Five tuple Series Equations, 33C45 Laguerre polynomials, 33D45 Basic Orthogonal Polynomials and Functions, 42C05 Orthogonal Functions and Polynomials, General Theory, 26A33 Fractional Derivatives and Integrals, 33B15 Beta Function, 34BXX Boundary Value Problem.

Issue Date:

August 2012

Abstract:

Lowndes4,3 have obtained the solution of some dual series equations involving laguerre polynoimials and then solved triple series equations involving laguerre polynomials. Singh, Rokne and Dhaliwal9 obtained closed form solution of triple series equations involving Laguerre polynomials and Srivastava10 have also obtained the solutions of certain dual series equations involving Laguerre polynomials. In the present paper, an exact solution has been obtained for the simultaneous five tuple series equations involving Laguerre polynomials by Noble’s8 modified multiplying factor technique.

Pages:

ISSN:

2319-8044 (Online) - 2231-346X (Print)

Source:

Vol.24 - No.2

PDF:

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DOI:

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P.K. MATHUR1 and ANJANA SINGH2, "Certain simultaneous five tuple series equations involving laguerre polynomials", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 2, Page Number , 2016

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Available from: https://www.ultrascientist.org/paper/430/

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License