## 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.

October 2018

384-388

#### ISSN:

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

Vol.30 – No.10

#### 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

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