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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Martinez-Finkelshtein, A. [1] ; Silva Ribeir, L. L. [2] ; Sri Ranga, A. [2] ; Tyaglov, M. [3]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: Results in Mathematics; v. 75, n. 1 FEB 13 2020.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 16/09906-0 - Harmonic analysis, approximation theory and applications
Grantee:Dimitar Kolev Dimitrov
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/04358-8 - Applications of functions satisfying certain recurrence relations
Grantee:Luana de Lima Silva Ribeiro
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)