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.
Gangadharan,M , Olatunji,S O and Fadipe-Joseph,O . (2018). Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination. International Journal of Nonlinear Analysis and Applications, 9(1), 55-68. doi: 10.22075/ijnaa.2018.11778.1589
MLA
Gangadharan,M , , Olatunji,S O , and Fadipe-Joseph,O . "Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination", International Journal of Nonlinear Analysis and Applications, 9, 1, 2018, 55-68. doi: 10.22075/ijnaa.2018.11778.1589
HARVARD
Gangadharan M, Olatunji S O, Fadipe-Joseph O. (2018). 'Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination', International Journal of Nonlinear Analysis and Applications, 9(1), pp. 55-68. doi: 10.22075/ijnaa.2018.11778.1589
CHICAGO
M Gangadharan, S O Olatunji and O Fadipe-Joseph, "Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination," International Journal of Nonlinear Analysis and Applications, 9 1 (2018): 55-68, doi: 10.22075/ijnaa.2018.11778.1589
VANCOUVER
Gangadharan M, Olatunji S O, Fadipe-Joseph O. Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination. IJNAA. 2018;9(1):55-68. doi: 10.22075/ijnaa.2018.11778.1589
International Journal of Nonlinear Analysis and Applications