2019/03/30 by Swati Anand, Anand, Swati, Sushil Kumar +3
Mathematics · #30C45 #30C80 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C45 #msc:30C80
paper · pdf · doi:10.48550/arxiv.1904.00194
arxiv created 2019/03/30 · openalex publication_date 2019/03/30 · arxiv updated 2019/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition. We exploit the first order differential subordination theory to get several sufficient conditions for function satisfying several differential subordinations to be a Janowski function with positive real part. As applications, we obtain sufficient conditions for normalized analytic functions to be Janowski starlike functions.