TY - JOUR
ID - 3082
TI - Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Gangadharan, Murugusundaramoorthy
AU - Olatunji, Sunday Oluwafemi
AU - Fadipe-Joseph, O.A.
AD - Dr. G. Murugusundaramoorthy, Ph.D.
Sr.Professor of Mathematics,
School of Advanced Sciences,
VIT University, Vellore 632 014
India
AD - Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
AD - Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria
Y1 - 2018
PY - 2018
VL - 9
IS - 1
SP - 55
EP - 68
KW - univalent function
KW - starlike function
KW - quasi--subordination
KW - logistic sigmoid function
KW - Fekete-Szego inequality
DO - 10.22075/ijnaa.2018.11778.1589
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_3082.html
L1 - https://ijnaa.semnan.ac.ir/article_3082_32c7c0a2eb966732ef665b9730390061.pdf
ER -