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d-Symmetric d-orthogonal polynomials of Brenke type |
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| Authors: | Youssef Ben Cheikh Neila Ben Romdhane |
| Affiliation: | 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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