Coefficient Estimates for Bazilevic  Ma-Minda Functions in the Space of Sigmoid Function

Sunday Oluwafemi Olatunji a,∗ and Emmanuel Jesuyon Dansu b

Coefficient Estimates for Bazilevic Ma-Minda Functions in the Space of Sigmoid Function

Authors :

Sunday Oluwafemi Olatunji ^a,∗ and Emmanuel Jesuyon Dansu^b

Author Address :

^a,bDepartment of Mathematical Sciences, Federal University of Technology, Akure, Nigeria.

*Corresponding author.

Abstract :

In this work, the authors investigated the coefficient estimates for Bazilevi\v c Ma-Minda Functions for the class $T_n^\alpha(\lambda, \beta, l, \Phi)$. The first few coefficient bounds for this class were obtained and also the relevant connection to Fekete-Szeg\"o theorem and were briefly discussed. Our results serve as a new generalization in this direction and gives birth to many corollaries.

Keywords :

Analytic Function, Univalent Function, Starlike Function, Convex Function, Bazilevi\v c Function, Subordination, Sigmoid Function, Fekete-Szeg\"o Inequality.

DOI :

Article Info :

Received : September 10, 2015; Accepted : July 07, 2016.