Title of article :
Fekete-Szego problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
Author/Authors :
Murugusundaramoorthy, Gangadharan Department of Mathematics - School of Advanced Sciences - VIT University, India , Oluwafemi Olatunji, Sunday Department of Mathematical Sciences - Federal University of Technology - Akure, Nigeria , Fadipe-Joseph, Olubunmi A Department of Mathematics - University of Ilorin - Ilorin, Nigeria
Abstract :
In this paper, we dene new subclasses S*
q (α; Φ); Mq(α; Φ) and Lq(α; Φ) of analytic functions in the
space of logistic sigmoid functions based on quasi{subordination and determine the initial coeffcient
estimates ∣a2∣ and ∣a3∣ and also determine the relevant connection to the classical Fekete-Szego inequalities.
Further, we discuss the improved results for the associated classes involving subordination
and majorization results brie
y.
Keywords :
univalent function , starlike function , quasi-subordination , logistic sigmoid function , Fekete-Szego inequality
Journal title :
Astroparticle Physics
