Complementary Romanovski-Routh Polynomials, Orthogonal Polynomials on the Unit Circle, and Extended Coulomb Wave Functions

Autor(es)

Martinez-Finkelshtein, A. ^[1] ; Silva Ribeir, L. L. ^[2] ; Sri Ranga, A. ^[2] ; Tyaglov, M. ^[3]

Afiliação do(s) autor(es)

^[1] Baylor Univ, Dept Math, Waco, TX 76798 - USA

^[2] UNESP Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, Sao Jose Do Rio Preto, SP - Brazil

^[3] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai - Peoples R China

• Tipo de documento: Artigo Científico
• Fonte: Results in Mathematics; v. 75, n. 1 FEB 13 2020.
• Citações Web of Science: 0

Resumo

In a recent paper (Martinez-Finkelshtein et al. in Proc Am Math Soc 147:2625-2640, 2019) some interesting results were obtained concerning complementary Romanovski-Routh polynomials, a class of orthogonal polynomials on the unit circle and extended regular Coulomb wave functions. The class of orthogonal polynomials here are generalization of the class of circular Jacobi polynomials. In the present paper, in addition to looking at some further properties of the complementary Romanovski-Routh polynomials and associated orthogonal polynomials on the unit circle, behaviour of the zeros of these extended Coulomb wave functions are also studied. (AU)

• Processo FAPESP: 16/09906-0 - Análise harmônica, teoria da aproximação, funções especiais e aplicações
• Beneficiário: Dimitar Kolev Dimitrov
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 17/04358-8 - Aplicações de funções que satisfazem certas relações de recorrência
• Beneficiário: Luana de Lima Silva Ribeiro
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto