The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $alpha$-spirallike Functions

The norm of pre-Schwarzian derivatives on bi-univalent functions of order $alpha$

‎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|

Subclasses of α-spirallike functions associated with Ruscheweyh derivatives

Subclasses of spirallike multivalent functions

Pre-schwarzian Norm Estimates of Functions for a Subclass of Strongly Starlike Functions

For normalized analytic functions f in the unit disk D = {z ∈ C : |z| < 1}, we consider

A New Class of Meromorphic Functions Associated with Spirallike Functions

Lei Shi, Zhi-Gang Wang, and Jing-Ping Yi School of Mathematics and Statistics, Anyang Normal University, Henan, Anyang 455002, China Correspondence should be addressed to Lei Shi, shilei [email protected] Received 22 September 2012; Revised 26 October 2012; Accepted 31 October 2012 Academic Editor: Alberto Cabada Copyright q 2012 Lei Shi et al. This is an open access article distributed under the...

Application of the Norm Estimates for Univalence of Analytic Functions

By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.