A class of univalent functions with real coefficients

2018/10/09 by Obradovic, Milutin, Tuneski, Nikola
#30C45 #30C50 #30C55 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.03839

Abstract

In this paper we study class S⁺ of univalent functions f such that (z)/(f(z)) has real and positive coefficients. For such functions we give estimates of the Fekete-Szegő functional and sharp estimates of their initial coefficients and logarithmic coefficients. Also, we present necessary and sufficient conditions for f∈ S⁺ to be starlike of order 1/2.

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