On Properties of q-Close-to-Convex Harmonic Functions of Order α
| dc.authorid | https://orcid.org/0000-0003-0368-7672 | |
| dc.contributor.author | Çakmak, Serkan | |
| dc.date.accessioned | 2025-06-26T07:23:24Z | |
| dc.date.available | 2025-06-26T07:23:24Z | |
| dc.date.issued | 2024 | |
| dc.department | İktisadi İdari ve Sosyal Bilimler Fakültesi | |
| dc.description.abstract | In this paper, a novel subclass, denoted as PH(q, α), is unveiled within the domain of harmonic functions in the open unit disk E. This subclass, comprised of functions f = u + v ∈ SH0 , is characterized by a specific inequality involving the q-derivative operator. Through meticulous analysis, it is demonstrated that functions belonging to PH(q, α) exhibit remarkable close-to-convexity properties. Furthermore, diverse results such as distortion theorem, coefficient bounds, and a sufficient coefficient condition are yielded by the exploration. Additionally, the closure properties of PH(q, α) under convolution operations and convex combination are elucidated, underscoring its structural coherence and relevance in the broader context of harmonic mappings. | |
| dc.identifier.citation | ÇAKMAK, S. (2024). On Properties of q-Close-to-Convex Harmonic Functions of Order α. Turkish Journal of Mathematics and Computer Science, 16(2),471-480. doi.org/10.47000/tjmcs.1507142 | |
| dc.identifier.doi | 10.47000/tjmcs.1507142 | |
| dc.identifier.endpage | 480 | |
| dc.identifier.issn | 2148-1830 | |
| dc.identifier.issue | 2 | |
| dc.identifier.startpage | 471 | |
| dc.identifier.uri | https://hdl.handle.net/11363/10005 | |
| dc.identifier.volume | 16 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.institutionauthor | Çakmak, Serkan | |
| dc.institutionauthorid | https://orcid.org/0000-0003-0368-7672 | |
| dc.language.iso | en | |
| dc.publisher | Matematikçiler Derneği | |
| dc.relation.ispartof | Turkish Journal of Mathematics and Computer Science | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | q-Derivative | |
| dc.subject | harmonic functions | |
| dc.subject | q-close-to-convex functions | |
| dc.subject | coefficient bounds | |
| dc.subject | distortion | |
| dc.title | On Properties of q-Close-to-Convex Harmonic Functions of Order α | |
| dc.type | Article |
