On trilateral generating functions of biorthogonal polynomials suggested by Laguerre polynomials

AUTHOR AND
AFFILIATION

K.P. SAMANTA
Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, East Medinipur, Pin-721636, W.B. (India)
N.C. BISWAS
Department of Mathematics, Dum Dum Motijheel College, 1, Motijheel Avenue, Kolkata-700074, W.B. (India)

KEYWORDS:

Biorthogonal polynomials, AMS-2010 Subject Classification Code: 33C45, 33C47, 33C65.

Issue Date:

October 2018

Pages:

384-388

ISSN:

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

Source:

Vol.30 – No.10

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DOI:

http://dx.doi.org/10.22147/jusps-A/301002

ABSTRACT:

In this note, we have obtained some novel results on trilateral generating functions involving Ynalpha+nk (x; k), a modified form of Konhauser biorthogonal polynomials, {Ynalpha (x; k)} with Tchebycheff polynomials by group theoretic method. As special cases, we have obtained the corresponding results on Lagurrepolynomials.

Copy the following to cite this Article:

K. Samanta; N. Biswas, “On trilateral generating functions of biorthogonal polynomials suggested by Laguerre polynomials”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 10, Page Number 384-388, 2018


Copy the following to cite this URL:

K. Samanta; N. Biswas, “On trilateral generating functions of biorthogonal polynomials suggested by Laguerre polynomials”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 10, Page Number 384-388, 2018

Available from: http://www.ultrascientist.org/paper/1499/on-trilateral-generating-functions-of-biorthogonal-polynomials-suggested-by-laguerre-polynomials


In this note, we have obtained some novel results on trilateral generating functions involving Ynalpha+nk (x; k), a modified form of Konhauser biorthogonal polynomials, {Ynalpha (x; k)} with Tchebycheff polynomials by group theoretic method. As special cases, we have obtained the corresponding results on Lagurrepolynomials.