A New Family of Orthogonal Polynomials in Three Variables
| dc.contributor.author | Aktas, Rabia | |
| dc.contributor.author | Area, Ivan | |
| dc.contributor.author | Guldogan, Esra | |
| dc.date.accessioned | 2024-07-05T15:30:22Z | |
| dc.date.available | 2024-07-05T15:30:22Z | |
| dc.date.issued | 2020 | |
| dc.description | Güldoğan Lekesiz, Esra/0000-0001-7653-8745; Area, Ivan/0000-0003-0872-5017; Aktas, Rabia/0000-0002-7811-8610 | en_US |
| dc.description.abstract | In this paper we introduce a six-parameter generalization of the four-parameter three-variable polynomials on the simplex and we investigate the properties of these polynomials. Sparse recurrence relations are derived by using ladder relations for shifted univariate Jacobi polynomials and bivariate polynomials on the triangle. Via these sparse recurrence relations, second order partial differential equations are presented. Some connection relations are obtained between these polynomials. Also, new results for the four-parameter three-variable polynomials on the simplex are given. Finally, some generating functions are derived. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK) [1059B191802162]; Agencia Estatal de Investigacion (AEI) of Spain [MTM2016-75140-P]; European Community fund FEDER | en_US |
| dc.description.sponsorship | The research of R. Aktas was done while she was visiting Universidade de Vigo, Spain, and the research has been supported by The Scientific and Technological Research Council of Turkey (TUBITAK), Grant 1059B191802162. The work of the second author has been partially supported by the Agencia Estatal de Investigacion (AEI) of Spain under Grant MTM2016-75140-P, and was cofinanced by the European Community fund FEDER. | en_US |
| dc.identifier.doi | 10.1186/s13660-020-02434-5 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopus | 2-s2.0-85086599537 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-020-02434-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3035 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Jacobi polynomials | en_US |
| dc.subject | Koornwinder polynomials | en_US |
| dc.subject | Generating function | en_US |
| dc.subject | Recurrence relation | en_US |
| dc.subject | Partial differential equation | en_US |
| dc.subject | Connection relation | en_US |
| dc.title | A New Family of Orthogonal Polynomials in Three Variables | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Güldoğan Lekesiz, Esra/0000-0001-7653-8745 | |
| gdc.author.id | Area, Ivan/0000-0003-0872-5017 | |
| gdc.author.id | Aktas, Rabia/0000-0002-7811-8610 | |
| gdc.author.scopusid | 25823678500 | |
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| gdc.author.wosid | Güldoğan Lekesiz, Esra/AAJ-5215-2021 | |
| gdc.author.wosid | Area, Ivan/E-9007-2016 | |
| gdc.author.wosid | Aktas, Rabia/C-1228-2018 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Aktas, Rabia] Ankara Univ, Fac Sci, Dept Math, Ankara, Turkey; [Area, Ivan] Univ Vigo, Dept Matemat Aplicada 2, EE Aeronaut & Espazo, Orense, Spain; [Guldogan, Esra] Atilim Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 2020 | en_US |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | 12 Matemáticas | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Recurrence relation | |
| gdc.oaire.keywords | Mathematics - Classical Analysis and ODEs | |
| gdc.oaire.keywords | Jacobi polynomials | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Classical Analysis and ODEs (math.CA) | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Ecuaciones diferenciales | |
| gdc.oaire.keywords | Connection relation | |
| gdc.oaire.keywords | Primary 33C50, Secondary 33C45 | |
| gdc.oaire.keywords | Koornwinder polynomials | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Generating function | |
| gdc.oaire.keywords | 1201.13 Polinomios | |
| gdc.oaire.keywords | Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable | |
| gdc.oaire.keywords | connection relation | |
| gdc.oaire.keywords | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) | |
| gdc.oaire.keywords | generating function | |
| gdc.oaire.keywords | partial differential equation | |
| gdc.oaire.keywords | recurrence relation | |
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| gdc.virtual.author | Lekesiz, Esra Güldoğan | |
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