VikramadityaSingh, NikolaTuneski
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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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.
Key concepts: Convexity, Analytic function, Mathematics, Class (philosophy), Upper and lower bounds, Pure mathematics, Combinatorics, Mathematical analysis