| Yazarlar |
Dr. Öğr. Üyesi Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye |
Prof. Dr. Erhan DENİZ
Kafkas Üniversitesi, Türkiye |
Luminita-Loana Cotirla
Türkiye |
| Özet |
| In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent functions using the q-derivative operator (Formula presented.) and the Gegenbauer polynomials in a symmetric domain, which is the open unit disc (Formula presented.) For these subclasses of analytic and bi-univalent functions, the coefficient estimates and Fekete–Szegö inequalities are solved. Some special cases of the main results are also linked to those in several previous studies. The symmetric nature of quantum calculus itself motivates our investigation of the applications of such quantum (or q-) extensions in this paper. |
| Anahtar Kelimeler |
| analytic functions | bi-univalent functions | Fekete–Szegö inequality | Gegenbauer polynomials | q-derivative operator | subordination |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | SYMMETRY-BASEL |
| Dergi ISSN | 2073-8994 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2023 |
| Cilt No | 15 |
| Sayı | 6 |
| Doi Numarası | 10.3390/sym15061192 |
| Makale Linki | http://dx.doi.org/10.3390/sym15061192 |
| Atıf Sayıları | |
| WoS | 3 |
| SCOPUS | 3 |
| Google Scholar | 3 |
