On certain Generalizations of S^*(ψ): II

2021/06/09 by Gangania, Kamaljeet, Kumar, S. Sivaprasad
#30C45 #30C50 #30C80 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.04962

Abstract

In this paper, we prove various radius results and obtain sufficient conditions using the convolution for the Ma-Minda classes S^*(ψ) and C(ψ) of starlike and convex analytic functions. We also obtain the Bohr radius for the class S_f(ψ):= \g(z)=∑_k=1^∞b_k z^k : g \prec f \ of subordinants, where f∈ S^*(ψ). The results are improvements and generalizations of several well known results.

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• Bohr-Rogosinski phenomenon for S^*(ψ) and C(ψ)
• Bohr radius for certain classes of starlike and convex univalent\n functions
• Sharp Bohr Radius Constants For Certain Analytic Functions
• Radii problems for Ma-Minda Starlikeness
• Bohr phenomenon for certain close-to-convex analytic functions