Coefficient estimates for Bazileviˇc Ma-Minda functions in the space of sigmoid function

Sunday Oluwafemi Olatunji; Emmanuel Jesuyon Dansu

doi:10.26637/mjm403/021

Abstract

In this work, the authors investigated the coefficient estimates for Bazilevič 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-Szegö 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, Bazileviˇc Function, Subordination, Sigmoid Function, Fekete-Szegö Inequality

Mathematics Subject Classification:

30C45, 33E99

Authors Imprint References Funding Related Articles Downloads

Sunday Oluwafemi Olatunji Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria. https://orcid.org/0000-0002-4651-6876
Emmanuel Jesuyon Dansu Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria.

Pages: 505-512
Date Published: 01-07-2016
Vol. 4 No. 03 (2016): Malaya Journal of Matematik (MJM)

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