New Generating Functions for Chebyshev, Gegenbauer, and Jacobi Matrix Polynomials
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. 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.
Authors
- Emilio Defez (ORCID: https://orcid.org/0000-0002-3303-6371)
- Michael M. Tung
Publication Details
- Journal
- Mediterranean Journal of Mathematics
- Published
- 2026-05-01
- DOI
- https://doi.org/10.1007/s00009-026-03119-x
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00