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

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dc.contributor.authorMartínez-Finkelshtein, A.
dc.contributor.authorSilva Ribeiro, L. L. [UNESP]
dc.contributor.authorSri Ranga, A. [UNESP]
dc.contributor.authorTyaglov, M.
dc.contributor.institutionBaylor University
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionShanghai Jiao Tong University
dc.date.accessioned2020-12-12T01:57:19Z
dc.date.available2020-12-12T01:57:19Z
dc.date.issued2020-03-01
dc.description.abstractIn a recent paper (Martínez-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.en
dc.description.affiliationDepartament of Mathematics Baylor University
dc.description.affiliationDepartamento de Matemática Aplicada IBILCE UNESP-Universidade Estadual Paulista, São José do Rio Preto
dc.description.affiliationSchool of Mathematical Sciences Shanghai Jiao Tong University
dc.description.affiliationUnespDepartamento de Matemática Aplicada IBILCE UNESP-Universidade Estadual Paulista, São José do Rio Preto
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipJunta de Andalucía
dc.description.sponsorshipEuropean Regional Development Fund
dc.description.sponsorshipIdFAPESP: 2016/09906-0
dc.description.sponsorshipIdFAPESP: 2017/04358-8
dc.description.sponsorshipIdCNPq: 304087/2018-1
dc.description.sponsorshipIdJunta de Andalucía: FQM-229
dc.description.sponsorshipIdEuropean Regional Development Fund: MTM2017-89941-P
dc.identifierhttp://dx.doi.org/10.1007/s00025-020-1167-8
dc.identifier.citationResults in Mathematics, v. 75, n. 1, 2020.
dc.identifier.doi10.1007/s00025-020-1167-8
dc.identifier.issn1420-9012
dc.identifier.issn1422-6383
dc.identifier.scopus2-s2.0-85079722002
dc.identifier.urihttp://hdl.handle.net/11449/200085
dc.language.isoeng
dc.relation.ispartofResults in Mathematics
dc.sourceScopus
dc.subjectorthogonal polynomials on the unit circle
dc.subjectpara-orthogonal polynomials
dc.subjectRomanovski–Routh polynomials
dc.subjectsecond order differential equations
dc.titleComplementary Romanovski–Routh Polynomials, Orthogonal Polynomials on the Unit Circle, and Extended Coulomb Wave Functionsen
dc.typeArtigo
unesp.author.orcid0000-0002-1318-3892[2]

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