Yusuke OKUYAMA
The Norm Estimates of Pre-Schwarzian Derivatives of Spiral-like Functions
Abstract
For a constant
)
, a normalized analytic function
=z+a_2z^2+a_3z^3+\cdots)
on the unit disk is said to be
-spiral-like if
}{e^{i\beta}f(z)})>0)
for any point
in the unit disk. In this paper, for such a function
,
we shall present the optimal estimate of the norm of
.
submission: October 30, 1998
revised: September 1, 1999
revised: December 26, 1999
dvi file47432 bytes
PDF file209682 bytes
Back
