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

AUTHOR AND
AFFILIATION

K.P. SAMANTA1 and B. SAMANTA2
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

KEYWORDS:

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

Issue Date:

August 2014

Pages:

ISSN:

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

Source:

Vol.26 – No.2

PDF

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DOI:

jusps-A

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.

Copy the following to cite this Article:

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


Copy the following to cite this URL:

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

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


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.