TITLE:
Some Properties of Analytic Functions with the Fixed Second Coefficients
AUTHORS:
Oh Sang Kwon
KEYWORDS:
Analytic Functions, Argument Estimate, Fixed Second Coefficients, Strongly Starlike Functions, Strongly Convex Functions
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.5,
May
12,
2014
ABSTRACT: In this
paper, we investigate some argument properties for analytic functions with
fixed second coefficient and positive real part. And we apply the argument
properties to the functions that are analytic and normalized. In particular,
the order of strongly starlikeness of strongly convex functions with fixed second
coefficients is given.