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

• Autor(a) principal: Hancco Suni, M. [UNESP]
• Data de Publicação: 2023
• Outros Autores: Marcellán, F., Sri Ranga, A. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1080/10236198.2023.2198041; http://hdl.handle.net/11449/247164
• topic: connection formulas; Orthogonal polynomials on the unit circle; Pastro polynomials; Sobolev-type orthogonal polynomials on the unit circle

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.