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STUDIA MATHEMATICA - Issue no. 3 / 2023 | |||||||
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THEOREMS REGARDING STARLIKENESS AND CONVEXITY . Authors: LUMINIȚA IOANA COTÎRLĂ, OLGA ENGEL, RÓBERT SZÁSZ. |
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Abstract: DOI: 10.24193/subbmath.2023.3.05 Received 24February 2023; Accepted 19 June 2023. Published Online: 2023-09-30 Published Print: 2023-09-30 pp. 517-526 VIEW PDF FULL PDF 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. Mathematics Subject Classification (2010): 30C45, 30A10. Keywords: Starlikeness, convexity, analytic functions, Alexander operator, Herglotz representation formula. |
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