eng
Ansari Education and Research Society
Journal of Ultra Scientist of Physical Sciences
October 2018
30
10
384
388
http://dx.doi.org/10.22147/jusps-A/301002
1499
article
On trilateral generating functions of biorthogonal polynomials suggested by Laguerre polynomials
K.P. SAMANTA
1
N.C. BISWAS
2
Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, East Medinipur, Pin-721636, W.B. (India)
Department of Mathematics, Dum Dum Motijheel College, 1, Motijheel Avenue, Kolkata-700074, W.B. (India)
<p>In this note, we have obtained some novel results on trilateral generating functions involving Y<sub>n<sup><img alt="alpha" src="http://latex.codecogs.com/gif.latex?%5Calpha" /></sup></sub><sup>+nk</sup> (x; k), a modified form of Konhauser biorthogonal polynomials, {Yn<sup><img alt="alpha" src="http://latex.codecogs.com/gif.latex?%5Calpha" /></sup> (x; k)} with Tchebycheff polynomials by group theoretic method. As special cases, we have obtained the corresponding results on Lagurrepolynomials.</p>
http://www.ultrascientist.org/paper/1499/
Biorthogonal polynomials
AMS-2010 Subject Classification Code: 33C45, 33C47, 33C65.