Abstract This paper presents a unified approach to deriving generating functions for the important class of matrix analogues of the Chebyshev, Gegenbauer, and Jacobi polynomials.
This paper presents a unified approach to deriving generating functions for the important class of matrix analogues of the Chebyshev, Gegenbauer, and Jacobi polynomials. Alongside these results, we also establish several explicit identities for the corresponding scalar polynomial families, which, to the best of our knowledge, appear here for the first time.
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Defez et al. (2026) studied this question.
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