Some properties of functions associated with close-to-convex and starlike of order α

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摘要

For analytic functions f(z) normalized with f(0)=0 and f′(0)=1 in the open unit disk U, a new class A(β1,β2;λ) of f(z) satisfying some conditions with some complex numbers β1 and β2 is introduced. The object of the present paper is to discuss some properties for A(β1,β2;λ) of f(z) associated with close-to-convex and starlike of order α in U.

论文关键词:Analytic,Univalent,Close-to-convex of order α,Starlike of order α,Cauchy–Schwarz inequality

论文评审过程:Available online 28 January 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.01.022