Theorems regarding starlikeness and convexity

Luminita Ioana Cotirla,Olga Engel,Robert Szasz

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA（2023）

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摘要

Giving the sharp version of an univalence condition means to give the final response to an open question. We prove in this paper the sharp version of a starlikeness condition. The basic tool in our study is the convolution theory. We present a short history of the problem before the proof of the main result.

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关键词

Starlikeness,convexity,analytic functions,Alexander operator,Herglotz representation formula

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