The region of values of the system {c2, c3, f(z1), f′(z1)} in the class of typically real functions

被引：0
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作者：
Goluzina E.G. [1 ]
机构：
[1] St. Petersburg Department of the Steklov Mathematical Institute, 191023 St. Petersburg
来源：
Journal of Mathematical Sciences | 2011年 / 176卷 / 1期
关键词：
Russia; Real Function; Mathematical Institute; Steklov Mathematical Institute; Typically Real;
D O I：
10.1007/s10958-011-0385-8
中图分类号：
学科分类号：
摘要：
The paper studies the region of values of the system {c2, c3, f(z1), f′(z1)},where z1 is an arbitrary fixed point of the disk {pipe}z{pipe} < 1; f ∈ T,and the class T consists of all the functions f(z) = z + c2z2 + c3z3 + ... regular in the disk {pipe}z{pipe} < 1 that satisfy the condition Im z · Im f(z) > 0 for Im z ≠ 0. The region of values of f′(z1) in the subclass of functions f ∈ T with prescribed values c2, c3, and f(z1) is determined. Bibliography: 10 titles. © 2011 Springer Science+Business Media, Inc.
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页码：1 / 6
页数：5
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