Notes on Convex Functions of Order $$\alpha $$ α
نویسندگان
چکیده
منابع مشابه
The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $alpha$-spirallike Functions
For a constant $alphain left(-frac{pi}{2},frac{pi}{2}right)$, we definea subclass of the spirallike functions, $SP_{p}(alpha)$, the setof all functions $fin mathcal{A}$[releft{e^{-ialpha}frac{zf'(z)}{f(z)}right}geqleft|frac{zf'(z)}{f(z)}-1right|.]In the present paper, we shall give the estimate of the norm of the pre-Schwarzian derivative $mathrm{T}...
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In the present investigation, we give the best estimates for the norm of the pre-Schwarzian derivative $ T_{f}(z)=dfrac{f^{''}(z)}{f^{'}(z)} $ for bi-starlike functions and a new subclass of bi-univalent functions of order $ alpha $, where $Vert T_{f} Vert= sup_{|z|
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ژورنال
عنوان ژورنال: Computational Methods and Function Theory
سال: 2015
ISSN: 1617-9447,2195-3724
DOI: 10.1007/s40315-015-0122-2