d-Orthogonality of Humbert and Jacobi type polynomials |
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| Authors: | I. Lamiri A. Ouni |
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| Affiliation: | a Institut Supérieure d'Informatique et des Technologies de Communication de Hammam Sousse, 4011 Hammam Sousse, Tunisia
b Institut préparatoire aux études d'ingénieur de Monastir, 5019 Monastir, Tunisia |
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| Abstract: | In this paper, we treat three questions related to the d-orthogonality of the Humbert polynomials. The first one consists to determinate the explicit expression of the d-dimensional functional vector for which the d-orthogonality holds. The second one is the investigation of the components of Humbert polynomial sequence. That allows us to introduce, as far as we know, new d-orthogonal polynomials generalizing the classical Jacobi ones. The third one consists to solve a characterization problem related to a generalized hypergeometric representation of the Humbert polynomials. |
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| Keywords: | d-Orthogonal polynomials Generalized hypergeometric polynomials Jacobi polynomials Gegenbauer polynomials Humbert polynomials d-Symmetric polynomials |
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