On mixed trilateral generating relations for biorthogonal polynomials suggested by the Laguerre polynomials

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On mixed trilateral generating relations for biorthogonal polynomials suggested by the Laguerre polynomials

Author:

K.P. SAMANTA1 and B. SAMANTA2

Affiliation:

¹Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, W.B. (INDIA)
²Department of Mathematics, Shibpur D.B. Institution(College), 412/1, G.T. Road, Howrah -711102, W.B. (INDIA)
E-mail: kalipadasamanta2010@gmail.com (correspoding author) E-mail: bijoysamanta@yahoo.com

Keyword:

Laguerre polynomials, biorthogonal polynomials, mixed trilateral generating functions. AMS-2010 Subject Classification Code: 33C 45, 33C 47.

Issue Date:

August 2014

Abstract:

In this note, we have obtained some novel results on mixed trilateral generating relations involving the polynomials, Yn+r x k a-nk ( ; ) a modified form ofKonhauser biorthogonal polynomials, Yna (x;k) by group theoretic method. As special cases, we have obtained the corresponding results on generalized Laguerre polynomials. Some applications of our results are also discussed.

Pages:

ISSN:

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

Source:

Vol.26 - No.2

PDF:

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K.P. SAMANTA1 and B. SAMANTA2, "On mixed trilateral generating relations for biorthogonal polynomials suggested by the Laguerre polynomials", Journal of Ultra Scientist of Physical Sciences, Volume 26, Issue 2, Page Number , 2016

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Available from: https://www.ultrascientist.org/paper/397/

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