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On convolutions of convex functions

 

作者: Volker Kasten,   Gerald Schmieder,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1985）
卷期: Volume 4, issue 2  

页码: 181-188

 

ISSN:0278-1077

 

年代: 1985

 

DOI:10.1080/17476938508814103

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C45;30C10

 

数据来源: Taylor

 

摘要:

LetS. K. Tdenote the classes of normalized univalent, convex and typically real functions resp. in the unit disk. It will be shown that there exists a polynomialp ∈ S ∩ Tof degree 6 and a functiong ∈ K ∩Tsuch thatp*g ∉ Swhere * denotes the Hadamard product. Moreover there is a polynomialq ∈ Sof degree 3 and a functionh ∈ Ksuch thatq*h ∉ S..

 

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