inequality;"/> inequality;"/> FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS | Korea Science
FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS

Title & Authors
FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS
Shanmugam, T.N.; Ramachandram, C.; Ravichandran, V.;

Abstract
In the present investigation, sharp upper bounds of $\small{|a3-{\mu}a^2_2|}$ for functions $\small{f(z)=z+a_2z^2+a_3z^3+...}$ belonging to certain subclasses of starlike and convex functions with respect to symmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szego inequalities for certain classes of functions defined through fractional derivatives are obtained.
Keywords
analytic functions;starlike functions;convex functions;subordination;coefficient problem;$\small{Fekete-Szeg\"{o}}$ inequality;
Language
English
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