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On Some Properties of Ruscheweyh Derivatives

On Some Properties of Ruscheweyh Derivatives *
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摘要 OnSomePropertiesofRuscheweyhDerivativesBAOGejunLINGYiGALYunying(包革军)(凌怡)(盖云英)(Dept.ofMathematics,HarbinInstituteofTechnology... Let F(z )=D α f(z ),where f(z )=z+∑∞n=2a nz n is analytic in unit disk D ={z:|z|<1}, D a f ( z ) denotes the Hadamard product of z/(1-z) a+1 and f(z) , a >-1.The object of the present paper is to determine the order of starlikeness of f (z) when F(z) is restricted to S * .Conversely,a lower bound for the radius of starlikeness of F(z) is obtained when f(z)∈S * .
出处 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1997年第4期7-9,共3页 哈尔滨工业大学学报(英文版)
关键词 ANALYTIC FUNCTION STARLIKE FUNCTION HADAMARD product Analytic function,starlike function ,hadamard product
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