IJPAM: Volume 101, No. 1 (2015)

SIGMOID FUNCTION IN THE SPACE OF
UNIVALENT $\lambda$-PSEUDO STARLIKE FUNCTIONS

G. Murugusundaramoorthy$^1$, T. Janani$^2$
$^{1,2}$School of Advanced Sciences
VIT University
Vellore, 632014, INDIA


Abstract. In the present investigation, we obtain initial coefficients of $\lambda-$ pseudo starlike functions related to sigmoid functions and the Fekete-Szegö coefficient functional $\vert a_3-\mu a_2^2\vert$ for certain normalized analytic functions defined on the open unit disk. As an application of the main result,we pointed out the initial coefficients and Fekete-Szegö inequality for a subclasses of starlike functions related to sigmoid functions.

Received: December 26, 2014

AMS Subject Classification: 30C45, 33E99

Key Words and Phrases: analytic functions, starlike functions, convex functions, subordination, Bazeilevic functions, sigmoid functions, Fekete-Szegö inequality

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DOI: 10.12732/ijpam.v101i1.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 1
Pages: 33 - 41


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