Some generating functions of biorthogonal polynomials suggested by the Laguerre polynomials

AUTHOR AND
AFFILIATION

K.P. SAMANTA1 and A.K. CHONGDAR2

KEYWORDS:

Laguerre polynomials, biorthogonal polynomials, generating functions. AMS-2000 Subject Classification Code: 33C 47.

Issue Date:

August 2013

Pages:

ISSN:

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

Source:

Vol.25 – No.2

PDF

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DOI:

jusps-A

ABSTRACT:

In this note, we have obtained some novel generating functions(both bilateral and mixed trilateral) involving Konhauser
biorthogonal polynomials by group theoretic method. As special cases, we obtain the corresponding results on generalized
Laguerre polynomials.

Copy the following to cite this Article:

K.P. SAMANTA1 and A.K. CHONGDAR2, “Some generating functions of biorthogonal polynomials suggested by the Laguerre polynomials”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 2, Page Number , 2016


Copy the following to cite this URL:

K.P. SAMANTA1 and A.K. CHONGDAR2, “Some generating functions of biorthogonal polynomials suggested by the Laguerre polynomials”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 2, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/244/


In this note, we have obtained some novel generating functions(both bilateral and mixed trilateral) involving Konhauser
biorthogonal polynomials by group theoretic method. As special cases, we obtain the corresponding results on generalized
Laguerre polynomials.