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Subordination Involving Gauss Hypergeometric Function

2024/05/03 by Anish Kumar, Sourav Das, Kumar, Anish +1
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2405.01869

openalex publication_date 2024/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination. Results established in this work are presumably new and their significance is illustrated by several consequences.

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