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

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

A Sturm-Liouville shaped characteristic differential equation as a guide to establish a quasi-polynomial expression to the Boubaker polynomials



ALMAS, 1135 Naassan TUNISIA


ESSTT/ 63 Rue Sidi Jabeur 5100 Mahdia, TUNISIA


The Boubaker polynomials were established and discussed in several previous studies, as a polynomial sequence related to a solution to the heat transfer equation in a special model of a vertical spray device. In the last years, many attempts to find a characteristic differential equation or a quasi-polynomial expression to these polynomials were yielded.

In this paper, we propose a Sturm-Liouville shaped characteristic differential equation to the Boubaker Polynomials as a supply to further efforts for proposing different analytic expression. The actual attempt is compared to the lastly proposed incomplete differential equation of the m-Boubaker polynomials.

PACS. 02.30.Sa Functional analysis - 02.30.Jr Partial differential equations -44.40.+a Heat transfer.

Mathematics Subject Classification 2000: 35K05.

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