| Title:
|
Fekete–Szegö Problem for a New Class of Analytic Functions Defined by Using a Generalized Differential Operator (English) |
| Author:
|
Aouf, M. K. |
| Author:
|
El-Ashwah, R. M. |
| Author:
|
Hassan, A. A. M. |
| Author:
|
Hassan, A. H. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
21-34 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we obtain Fekete–Szegö inequalities for a generalized class of analytic functions $f(z)\in \mathcal {A} $ for which $1+\frac{1}{b}\Big ( \frac{z\left( D_{\alpha ,\beta ,\lambda ,\delta }^n f(z)\right)^{\prime }}{D_{\alpha ,\beta ,\lambda ,\delta }^{n}f(z)}-1\Big )$ ($\alpha ,\beta ,\lambda ,\delta \ge 0$; $\beta >\alpha $; $\lambda >\delta $; $b\in \mathbb {C}^{\ast }$; $n\in \mathbb {N}_{0}$; $z\in U$) lies in a region starlike with respect to $1$ and is symmetric with respect to the real axis. (English) |
| Keyword:
|
analytic |
| Keyword:
|
subordination |
| Keyword:
|
Fekete–Szegö problem |
| MSC:
|
30C45 |
| idZBL:
|
Zbl 06285751 |
| idMR:
|
MR3202746 |
| . |
| Date available:
|
2013-08-02T07:51:25Z |
| Last updated:
|
2014-07-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143388 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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