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math.CA2026
Meta Algebras and Special Functions: the Racah Case
Nicolas Crampé, Quentin Labriet, Lucia Morey +3
Finite families of biorthogonal rational functions and orthogonal polynomials of Racah-type are studied within a unified algebraic framework based on the meta Racah algebra and its…
math.CA2025
Algebraic interpretation of discrete families of matrix valued orthogonal polynomials
Quentin Labriet, Lucia Morey, Luc Vinet
An algebraic interpretation of matrix-valued orthogonal polynomials (MVOPs) is provided. The construction is based on representations of a (-deformed) Lie algebra …
math.CA2025
Contiguity relations for finite families of orthogonal polynomials in the Askey scheme
Nicolas Crampé, Lucia Morey, Luc Vinet +1
This paper classifies the contiguity relations for finite families of polynomials within the (-)Askey scheme. The necessary and sufficient conditions for the existence of these…