ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS
Author(s): Vikramaditya Singh, Nikola Tuneski
Pages: 597-602
Year: 2004 Issue: 4
Journal: ACTA MATHEMATICA SCIENTIA
Keyword: Starlike; convex; criteria; Fekete-Szeg(o..);
Abstract: In this paper the authors study (1 -γ + zf″(z)/f′(z))/(zf′(z)/f(z)) as a criteria for starlikeness and convexity. Sharp upper bound of |a2| and of the Fekete-Szego functional |a3-μa2 2| is given for a class of analytic functions defined by using this expression.
Pages: 597-602
Year: 2004 Issue: 4
Journal: ACTA MATHEMATICA SCIENTIA
Keyword: Starlike; convex; criteria; Fekete-Szeg(o..);
Abstract: In this paper the authors study (1 -γ + zf″(z)/f′(z))/(zf′(z)/f(z)) as a criteria for starlikeness and convexity. Sharp upper bound of |a2| and of the Fekete-Szego functional |a3-μa2 2| is given for a class of analytic functions defined by using this expression.
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