Certain Subclasses of Analytic and Bi-Univalent Functions Governed by the Gegenbauer Polynomials Linked with q-Derivative
Yazarlar (3)
Doç. Dr. Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye
Prof. Dr. Erhan DENİZ
Kafkas Üniversitesi, Türkiye
Luminiţa Ioana Cotîrlă
Universitatea Tehnica Din Cluj-Napoca, Romanya
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Symmetry (Q2) | ||
| Dergi ISSN | 2073-8994 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2023 |
| Cilt / Sayı / Sayfa | 15 / 6 / 1–15 | DOI | 10.3390/sym15061192 |
| Makale Linki | http://dx.doi.org/10.3390/sym15061192 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 6 |
| SCOPUS | 6 |
| Google Scholar | 3 |