%0 Journal Article
%T Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Gangadharan, Murugusundaramoorthy
%A Olatunji, Sunday Oluwafemi
%A Fadipe-Joseph, O.A.
%D 2018
%\ 09/01/2018
%V 9
%N 1
%P 55-68
%! Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
%K univalent function
%K starlike function
%K quasi--subordination
%K logistic sigmoid function
%K Fekete-Szego inequality
%R 10.22075/ijnaa.2018.11778.1589
%X In this paper, we define new subclasses ${S}^{*}_{q}(\alpha,\Phi),$ ${M}_{q}(\alpha,\Phi)$ and ${L}_{q}(\alpha,\Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ 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 briefly.
%U https://ijnaa.semnan.ac.ir/article_3082_32c7c0a2eb966732ef665b9730390061.pdf