Fekete-Szegö problem for a new subclass of analytic functions satisfying subordinate condition associated with Chebyshev polynomials
Yazarlar (4)
Muhammet Kamali
Kırgızistan-Türkiye Manas Üniversitesi, Türkiye
Kırgızistan-Türkiye Manas Üniversitesi, Türkiye
Murat Çağlar Kafkas Üniversitesi, Türkiye
Prof. Dr. Erhan DENİZ Kafkas Üniversitesi, Türkiye
Mirzaolim Turabaev
Kırgızistan-Türkiye Manas Üniversitesi, Türkiye
Kırgızistan-Türkiye Manas Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Turkish Journal of Mathematics (Q3) | ||
| Dergi ISSN | 1300-0098 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2021 |
| Cilt / Sayı / Sayfa | 45 / 3 / 1195–1208 | DOI | 10.3906/mat-2101-20 |
| Makale Linki | http://dx.doi.org/10.3906/mat-2101-20 | ||
| Özet |
| In this paper,we define a class of analytic functions F(β,λ) (H, α, δ, µ), satisfying the following subordinate condition associated with Chebyshev polynomials α [ zG′ (z) G (z) ]δ + (1 − α) [ zG′ (z) G (z) ]µ [ 1 + zG′′ (z) G ′ (z) ]1−µ ≺ H (z, t), where G (z) = λβz2 f ′′ (z) + (λ − β) zf′ (z) + (1 − λ + β) f (z), 0 ≤ α ≤ 1, 1 ≤ δ ≤ 2, 0 ≤ µ ≤ 1, 0 ≤ β ≤ λ ≤ 1 and t ∈ ( 1 2 , 1 ] . We obtain initial coefficients |a2| and |a3| for this subclass by means of Chebyshev polynomials expansions of analytic functions in D. Furthermore, we solve Fekete-Szegö problem for functions in this subclass.We also provide relevant connections of our results with those considered in earlier investigations. The results presented in this paper improve the earlier investigations. |
| Anahtar Kelimeler |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| TRDizin | 1 |