Title
Differential subordination and argumental property
Abstract
For analytic functions f(z) in the open unit disk E and convex functions g(z) in E, Ch. Pommerenke [Ch. Pommerenke, On close-to-convex analytic functions, Trans. Amer. Math. Soc. 114 (1) (1965) 176-186] has proved one theorem which is a generalization of the result by K. Sakaguchi [K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959) 72-75]. The object of the present paper is to generalize the theorem due to Pommerenke.
Year
DOI
Venue
2008
10.1016/j.camwa.2008.02.050
Computers & Mathematics with Applications
Keywords
Field
DocType
k. sakaguchi,close-to-convex analytic function,starlike of reciprocal order,j. math,argumental property,convex functions g,present paper,analytic function,certain univalent mapping,open unit disk e,differential subordination,convex function
Discrete mathematics,Mathematical analysis,Analytic function,Convex function,Unit disk,Mathematics
Journal
Volume
Issue
ISSN
56
10
Computers and Mathematics with Applications
Citations 
PageRank 
References 
1
0.48
0
Authors
5
Name
Order
Citations
PageRank
Mamoru Nunokawa133.36
Shigeyoshi Owa23516.04
Junichi Nishiwaki352.79
Kazuo Kuroki411.16
Toshio Hayami511.50