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d-ORTHOGONAL POLYNOMIAL SETS OF CHEBYSHEV TYPE

Faculté des Sciences de Monastir, Département de Mathématiques, 5019 Monastir, Tunisie

The corresponding author.

and

Institut Préparatoire aux Études d'Ingénieur de Monastir, Département de Préparation en Math-Physique, 5019 Monastir, Tunisie

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https://doi.org/10.1142/9789812770752_0008Cited by:4 (Source: Crossref)

Abstract:

In this paper, we characterize all d-orthogonal polynomial sets generated by functions of the type , where A and C are two formal power series satisfying A(0) = C′(0) = 1 and C(0) = 0. We, also, determine the corresponding d-dimensional functional vector of the obtained polynomial sets and we produce the d-orthogonal Chebyshev polynomials of the first kind.