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Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator

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Autor(es):
Suni, M. Hancco ; Marcellan, F. ; Ranga, A. Sri
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS; v. 29, n. 3, p. 29-pg., 2023-04-12.
Resumo

Applications of orthogonal polynomials on the unit circle have attracted the attention of many researchers in recent years. Pastro polynomials, which are basic hypergeometric polynomials, are known to be biorthogonal polynomials on the unit circle. However, with special choice of parameters they provide one of the nicest examples of orthogonal polynomials on the unit circle. Our objective here is to consider some properties of three sequences of polynomials which are related to these Pastro orthogonal polynomials on the unit circle by a q-difference operator. We also provide information regarding connection formulas, bounds for the connection coefficients as well as outer relative asymptotics associated with these sequences of polynomials. (AU)

Processo FAPESP: 20/14244-2 - Polinômios ortogonais e estudos relacionados
Beneficiário:Alagacone Sri Ranga
Modalidade de apoio: Auxílio à Pesquisa - Regular