Second hankel determinat for certain analytic functions satisfying subordinate condition
Yazarlar (2)
Prof. Dr. Erhan DENİZ Kafkas Üniversitesi, Türkiye
Levent Budak
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Mathematica Slovaca | ||
| Dergi ISSN | 0139-9918 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2018 |
| Kabul Tarihi | 14-04-2026 | Yayınlanma Tarihi | – |
| Cilt / Sayı / Sayfa | 68 / 2 / 463–471 | DOI | 10.1515/ms-2017-0116 |
| Makale Linki | http://www.degruyter.com/view/j/ms.2018.68.issue-2/ms-2017-0116/ms-2017-0116.xml | ||
| Özet |
| AbstractIn this paper, we introduce and investigate the following subclass1+1γzf′(z)+λz2f″(z)λzf′(z)+(1−λ)f(z)−1≺φ(z)0≤λ≤1,γ∈C∖{0}$$\begin{array}{} \displaystyle 1+\frac{1}{\gamma }\left( \frac{zf'(z)+\lambda z^{2}f''(z)}{\lambda zf'(z)+(1-\lambda )f(z)}-1\right) \prec \varphi (z)\qquad\left( 0\leq \lambda \leq 1,\gamma \in \mathbb{C} \smallsetminus \{0\}\right) \end{array} $$of analytic functions,φis an analytic function with positive real part in the unit disk 𝔻, satisfyingφ(0) = 1,φ'(0) > 0, andφ(𝔻) is symmetric with respect to the real axis. We obtain the upper bound of the second Hankel determinant | a2a4−a32$\begin{array}{} a^2_3 \end{array} $| for functions belonging to the this class is studied using Toeplitz determinants. The results, which are presented in this paper, would generalize those in related works of several earlier authors. |
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