Laguerre-type general-Appell polynomials
| dc.contributor.author | Ozat, Zeynep | |
| dc.contributor.author | Cekim, Bayram | |
| dc.contributor.author | Ozarslan, Mehmet Ali | |
| dc.date.accessioned | 2026-02-06T18:47:00Z | |
| dc.date.issued | 2025 | |
| dc.department | Doğu Akdeniz Üniversitesi | |
| dc.description.abstract | In this paper, new and general form of Laguerre-type Appell polynomials are introduced by using the Laguerre-type exponential function. For this new polynomial family, we present explicit representation, recurrence relation, lowering and raising operators, differential equation, determinant representation and some other properties. Furthermore, a method for handling matrix calculus-based approach to Laguerre-type general-Appell polynomials is presented. Finally, the special cases of this family are investigated using Hermite polynomials and truncated exponential-based Appell polynomials and their corresponding properties are obtained. | |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkiye (TUBITAK) [BIdot;DEB 2211-A] | |
| dc.description.sponsorship | We would like to thank the editor and reviewer for their valuable suggestions and comments. We would like to thank the Scientific and Technological Research Council of Turkiye (TUBITAK) for the TUBITAK B & Idot;DEB 2211-A General Domestic Doctorate Scholarship Program that supported the first author. | |
| dc.identifier.doi | 10.1080/10652469.2024.2418889 | |
| dc.identifier.endpage | 589 | |
| dc.identifier.issn | 1065-2469 | |
| dc.identifier.issn | 1476-8291 | |
| dc.identifier.issue | 7 | |
| dc.identifier.scopus | 2-s2.0-85208472651 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 571 | |
| dc.identifier.uri | https://doi.org/10.1080/10652469.2024.2418889 | |
| dc.identifier.uri | https://hdl.handle.net/11129/14178 | |
| dc.identifier.volume | 36 | |
| dc.identifier.wos | WOS:001349372300001 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Taylor & Francis Ltd | |
| dc.relation.ispartof | Integral Transforms and Special Functions | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WoS_20260204 | |
| dc.subject | Appell polynomials | |
| dc.subject | bivariate Appell polynomials | |
| dc.subject | Laguerre-type exponential | |
| dc.subject | Laguerre-type derivative | |
| dc.title | Laguerre-type general-Appell polynomials | |
| dc.type | Article |
