Properties of Some of Two-Variable Orthogonal Polynomials

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dc.contributor.authorMilovanovic, Gradimir V.
dc.contributor.authorÖztürk, Güner
dc.contributor.authorAktaş, Rabia
dc.date.accessioned2020-03-26T20:20:54Z
dc.date.available2020-03-26T20:20:54Z
dc.date.issued2020
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractThe present paper deals with various recurrence relations, generating functions and series expansion formulas for two families of orthogonal polynomials in two variables, given Laguerre–Laguerre Koornwinder polynomials and Laguerre–Jacobi Koornwinder polynomials in the limit cases. Several families of bilinear and bilateral generating functions are derived. Furthermore, some special cases of the results presented in this study are indicated. © 2019, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.en_US
dc.description.sponsorshipMinistarstvo Prosvete, Nauke i Tehnološkog Razvojaen_US
dc.description.sponsorshipThe authors are deeply grateful to the anonymous referees for their comments and constructive suggestions for improvements of this paper. The first author was supported in part by the Serbian Academy of Sciences and Arts (No. ? \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi $$\end{document} -96) and by the Serbian Ministry of Education, Science and Technological Development (No. #OI 174015).en_US
dc.identifier.doi10.1007/s40840-019-00750-8en_US
dc.identifier.endpage1431en_US
dc.identifier.issn0126-6705en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1403en_US
dc.identifier.urihttps://dx.doi.org/10.1007/s40840-019-00750-8
dc.identifier.urihttps://hdl.handle.net/20.500.12395/38696
dc.identifier.volume43en_US
dc.identifier.wosWOS:000526029300023en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBulletin of the Malaysian Mathematical Sciences Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBilateral generating functionen_US
dc.subjectBilinear generating functionen_US
dc.subjectGenerating functionen_US
dc.subjectJacobi polynomialsen_US
dc.subjectLaguerre polynomialsen_US
dc.titleProperties of Some of Two-Variable Orthogonal Polynomialsen_US
dc.typeArticleen_US

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