ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

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Establishment of an Ordinary Generating Function and a Christoffel-Darboux Type First-Order Differential Equation for the Heat Equation Related Boubaker-Turki Polynomials

Автор(ы):

H. Labiadh

ALMAS, 1135 Naassan TUNISIA

almastiunisia@yahoo.fr

M. Dada

Department of Physics,
Federal University of Technology,
Minna, Niger-State, NIGERIA

awojoyogbe@yahoo.com

O. B. Awojoyogbe

Department of Physics,
Federal University of Technology,
Minna, Niger-State, NIGERIA

awojoyogbe@yahoo.com

K. B. Ben Mahmoud

ESSTT/ 63 Rue Sidi Jabeur 5100 Mahdia, TUNISIA

mmbb11112000@yahoo.fr

A. Bannour

FMD, Cluj-Napoca. ROUMANIA.

managing_office069@yahoo.fr

Аннотация:

In this study, we try to find a generating function for the Boubaker-Turki polynomials (or the modified Boubaker polynomials). Since their first definition as an applied physics study, the Boubaker polynomials have been dealt with as non-orthogonal sequences that don’t obey to any known Legendre-Laguerre type characteristic differential equation. This generating function is given parallel to a Christoffel-Darboux type first-order differential equation as a guide to further studies.

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