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d-Symmetric d-orthogonal polynomials of Brenke type
Authors:Youssef Ben Cheikh  Neila Ben Romdhane
Institution:1. Département de Mathématiques, Faculté des Sciences de Monastir, Université de Monastir, Tunisia;2. École Supérieure des Sciences et de Technologie de Hammam Sousse, Université de Sousse, Tunisia
Abstract:In this paper, we characterize the d-symmetric d-orthogonal polynomials of Brenke type. We obtain two new families of polynomials and the moments of the corresponding d-dimensional vectors of linear functionals. Weights, providing integral representations for these moments, were also given.
Keywords:Orthogonal polynomials  Generating functions  d-Symmetric polynomials  d-Orthogonal polynomials  Brenke polynomials  d-Dimensional functional vector  Component sets
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