On a Symmetric Generalization of Bivariate Sturm-Liouville Problems
| dc.authorid | Area, Ivan/0000-0003-0872-5017 | |
| dc.authorid | Güldoğan Lekesiz, Esra/0000-0001-7653-8745 | |
| dc.authorid | Aktas, Rabia/0000-0002-7811-8610 | |
| dc.authorscopusid | 57194410672 | |
| dc.authorscopusid | 25823678500 | |
| dc.authorscopusid | 6603960177 | |
| dc.authorscopusid | 57221458453 | |
| dc.authorwosid | Area, Ivan/E-9007-2016 | |
| dc.authorwosid | Güldoğan Lekesiz, Esra/AAJ-5215-2021 | |
| dc.authorwosid | Aktas, Rabia/C-1228-2018 | |
| dc.contributor.author | Tefo, Yves Guemo | |
| dc.contributor.author | Aktas, Rabia | |
| dc.contributor.author | Area, Ivan | |
| dc.contributor.author | Lekesiz, Esra Guldogan | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:19:35Z | |
| dc.date.available | 2024-07-05T15:19:35Z | |
| dc.date.issued | 2022 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Tefo, Yves Guemo; Area, Ivan] Univ Vigo, Dept Matemat Aplicada 2, EE Aeronaut & Espazo, Campus As Lagoas Ourense, Orense 32004, Spain; [Tefo, Yves Guemo] Univ Yaounde I, Fac Sci, Dept Math, Yaounde, Cameroon; [Aktas, Rabia] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey; [Lekesiz, Esra Guldogan] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description | Area, Ivan/0000-0003-0872-5017; Güldoğan Lekesiz, Esra/0000-0001-7653-8745; Aktas, Rabia/0000-0002-7811-8610 | en_US |
| dc.description.abstract | A new class of partial differential equations having symmetric orthogonal solutions is presented. The general equation is presented and orthogonality is obtained using the Sturm-Liouville approach. Conditions on the polynomial coefficients to have admissible partial differential equations are given. The general case is analyzed in detail, providing orthogonality weight function, three-term recurrence relations for the monic orthogonal polynomial solutions, as well as explicit form of these monic orthogonal polynomial solutions, which are solutions of an admissible and potentially self-adjoint linear second-order partial differential equation of hypergeometric type. | en_US |
| dc.description.sponsorship | TUBITAK Research Grant [120F140]; Agencia Estatal de Investigacion (AEI) of Spain [MTM2016-75140-P]; European Community fund FEDER; Universidade de Vigo/CISUG | en_US |
| dc.description.sponsorship | The authors thank the referees for their valuable comments which improved a preliminary version of this work. The work of R.A. has been partially supported by TUBITAK Research Grant Proj. No. 120F140. The work of I.A. has been partially supported by the Agencia Estatal de Investigacion (AEI) of Spain under Grant MTM2016-75140-P, cofinanced by the European Community fund FEDER. Funding for open access charge: Universidade de Vigo/CISUG. | en_US |
| dc.identifier.citationcount | 1 | |
| dc.identifier.doi | 10.1007/s41980-021-00605-8 | |
| dc.identifier.endpage | 1665 | en_US |
| dc.identifier.issn | 1017-060X | |
| dc.identifier.issn | 1735-8515 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85109830372 | |
| dc.identifier.startpage | 1649 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s41980-021-00605-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1991 | |
| dc.identifier.volume | 48 | en_US |
| dc.identifier.wos | WOS:000672325700001 | |
| dc.identifier.wosquality | Q3 | |
| dc.institutionauthor | Lekesiz, Esra Güldoğan | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Singapore Pte Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 1 | |
| dc.subject | Bivariate orthogonal polynomials | en_US |
| dc.subject | Symmetric orthogonal polynomials | en_US |
| dc.subject | Partial differential equations | en_US |
| dc.title | On a Symmetric Generalization of Bivariate Sturm-Liouville Problems | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 1 | |
| dspace.entity.type | Publication | |
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