Dada, Micahel; Awojoyogbe, O. B.; Benmahmoud, K. B.; Bannour, Amine Establishment of a generating function and a Chebyshev-like differential equation for the heat equation related \(m\)-Boubaker polynomials. (English) Zbl 1180.33028 Bull. Pure Appl. Math. 3, No. 1, 119-127 (2009). Summary: We try to find a generating function for the \(m\)-Boubaker polynomials. Since their first definition as an analytical tool that led to a solution to the heat equation, 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 a guide to establish a second order differential equation, which is inhomogeneous and not characteristic as long as it uses an other special function. MSC: 33E20 Other functions defined by series and integrals 33E30 Other functions coming from differential, difference and integral equations 33E99 Other special functions 41A30 Approximation by other special function classes 41A55 Approximate quadratures Keywords:generating functions; Boubaker polynomials; heat equaiton; Chebyshev polynomial PDFBibTeX XMLCite \textit{M. Dada} et al., Bull. Pure Appl. Math. 3, No. 1, 119--127 (2009; Zbl 1180.33028)