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A generalized Bohr-Rogosinski phenomenon

2022/02/05 by Kamaljeet Gangania, Gangania, Kamaljeet, S. Sivaprasad Kumar +1
Mathematics · #30C45 #30C50 #30C80 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2202.02560

openalex publication_date 2022/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we generalize the Bohr-Rogosinski sum for the Ma-Minda classes of starlike and convex functions. Also the phenomenon is studied for the classes of starlike functions with respect to symmetric points and conjugate points along with their convex cases. Further, the connection between the derived results and the known ones are established with the suitable examples.

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