Title of article :
The Fekete-Szego Coefficient Functional for Transforms of Analytic Functions
Author/Authors :
Rosihan, M. Ali Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , Lee, See Keong Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , Ravichandran, V. University of Delhi - Department of Mathematics, India , Supramaniam, Shamani Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia
Abstract :
Sharp bounds for the Fekete-Szeg¨o coefficient functional associated with the k-th root transform [f(zk)]1/k of normalized analytic functions f(z) defined on the open unit disk in the complex plane are derived. A similar problem is investigated for functions z/f(z) when f belongs to a certain class of functions.
Keywords :
Analytic functions , starlike functions , convex functions , p , valent functions , subordination , Fekete , Szeg¨o inequalities
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
