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<p>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.</p>

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New Generating Functions for Chebyshev, Gegenbauer, and Jacobi Matrix Polynomials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月4日

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  • Emilio Defez,
  • Michael M. Tung

摘要

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.