摘要
Ruscheweyh乘数猜测:若f(z)∈D,g(z),h(z)∈S,则Re{((f*gz*h)(z)/z)}>o,z∈U.利用单叶函数的星形半径证明了Ruscheweyh乘数猜测在一些特殊情况下是成立的.
Ruscheweyh conjectures that if f(z)∈D,g(z),h(z)∈S,then Re{((f*gz*h)(z)/z)}o.In this note,Ruscheweyh's Multiplier conjecture is true in several special cases.The results obtained here are closely related to the radius of starlikeness of partial sums of univalent functions.
出处
《江西理工大学学报》
CAS
2011年第1期76-77,共2页
Journal of Jiangxi University of Science and Technology
关键词
星形半径
单叶函数
Ruscheweyh乘数猜测
the radius of starlikeness
univalent functions
Ruscheweyh's multiplier conjecture