Sharp Estimate of Fifth Coefficient for Ma Minda Starlike and Convex Functions

2022/01/15 by Surya Giri, Giri, Surya, S. Sivaprasad Kumar +1
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2201.05803

openalex publication_date 2022/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

\noindent In the present investigation, we find the sharp bound of fifth coefficient of analytic normalized function f satisfying z f'(z)/f(z) \prec φ(z) when coefficients of φ satisfy certain conditions. For an appropriate choice of φ, the already known estimates for various other subclasses of starlike functions follow directly from the obtained result.

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