2021/03/22 by Prachi Gupta, Gupta, Prachi, Sumit Nagpal +3
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Equations Stability Results #Nonlinear Differential Equations Analysis
paper · pdf · doi:10.48550/arxiv.2103.11711
openalex publication_date 2021/03/22 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
Some differential implications of classical Marx-Strohhäcker theorem are extended for multivalent functions. These results are also generalized for functions with fixed second coefficient by using the theory of first order differential subordination which in turn, corrects the results of Selvaraj and Stelin [On multivalent functions associated with fixed second coefficient and the principle of subordination, Int. J. Math. Anal. \bf 9 (2015), no.~18, 883--895].