On classes of meromorphic locally univalent functions defined by\n differential inequalities

2019/05/05 by See Keong Lee, Lee, See Keong, Saminathan Ponnusamy +3
Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1905.01690

openalex publication_date 2019/05/05 · openalex created_date 2022/07/23 · openalex updated_date 2026/07/28

Abstract

n this article we consider functions meromorphic in the unit disk. We give an\nelementary proof for a condition that is sufficient for the univalence of such\nfunctions which also contains some known results. We include few open problems\nfor further research.\n

Related

• Elementary considerations for classes of meromorphic univalent functions
• Sufficient conditions for univalence and study of a class of meromorphic univalent functions
• Differential Inequalities and Univalent Functions
• Revisit Of Meromorphic Convex Functions
• Some differential inequalities and criteria for univalency in the unit disk