Decompositions into nonoverlapping domains and extremal properties of univalent functions

1997 ◽  
Vol 83 (6) ◽  
pp. 779-794 ◽  
Author(s):  
A. Yu. Solynin
Keyword(s):  
Univalent Functions ◽  
Nonoverlapping Domains ◽  
Extremal Properties

Some Problems for Typically Real Functions

1961 ◽  
Vol 13 ◽  
pp. 299-304 ◽  
Author(s):  
James A. Jenkins
Keyword(s):  
Unit Circle ◽  
Univalent Functions ◽  
Real Functions ◽  
Representation Result ◽  
Typically Real ◽  
Typically Real Functions ◽  
Extremal Properties

Many extremal properties of the class of normalized univalent functions are shared by the class of typically real functions each considered in the unit circle. By the class T of typically real functions we mean those functions f(z), regular for |z| < 1 with f(0) = 0, f'(0) = 1, and such that f(z) > 0 for z > 0, (z) < 0 for > 0. This class was first studied by Rogosinski (4) who proved various simple properties for it. Later Robertson (3) took up the study and proved the following important representation result.

Certain Subclasses of Bi-Univalent Functions Involving Double Zeta Function

2015 ◽  
Vol 4 (4) ◽  
pp. 28-33
Author(s):  
Dr. T. Ram Reddy ◽  
◽  
R. Bharavi Sharma ◽  
K. Rajya Lakshmi ◽  
◽  
...  
Keyword(s):  
Zeta Function ◽  
Univalent Functions ◽  
Double Zeta
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