Hedi LABIADH
ALMAS, 1135 Naassan TUNISIA
Karem BOUBAKER
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.