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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…
math.CA2022
An algebraic treatment of the Pastro polynomials on the real line
Vutha Vichhea Chea, Luc Vinet, Meri Zaimi +1
The properties of the Pastro polynomials on the real line are studied with the help of a triplet of -difference operators. The -difference equation and recurrence relation th…
math.CA2022★ 1 cited
biorthogonal polynomials of Hahn type
Luc Vinet, Meri Zaimi, Alexei Zhedanov
A finite family of polynomials is introduced and studied. It consists in a set of polynomials of form whose biorthogonality to an ensemble of rational functions i…