Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180801Fekete-Szeg"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination5568308210.22075/ijnaa.2018.11778.1589ENMurugusundaramoorthy GangadharanDr. G. Murugusundaramoorthy, Ph.D.
Sr.Professor of Mathematics,
School of Advanced Sciences,
VIT University, Vellore 632 014
India ,www.vit.ac.inSunday Oluwafemi OlatunjiDepartment of Mathematical Sciences, Federal University of Technology, Akure, NigeriaO.A. Fadipe-JosephDepartment of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria0000-0001-7781-6807Journal Article20170628In this paper, we define new <span>subclasses</span> <span>${S}^{*}_{q}(alpha,Phi),$</span> <span>${M}_{q}(alpha,Phi)$</span> and <span>${L}_{q}(alpha,Phi)$</span> of analytic functions in the space of logistic <span>sigmoid</span> functions based on quasi--subordination and determine the initial coefficient estimates <span>$|a_2|$</span> and <span>$|a_3|$</span> and also determine the relevant connection to the classical <span>Fekete</span>--<span>Szeg</span><span>"</span>o inequalities. Further, we discuss the improved results for the associated classes involving subordination and <span>majorization</span> results briefly.http://ijnaa.semnan.ac.ir/article_3082_32c7c0a2eb966732ef665b9730390061.pdf