On Meromorphically Starlike Functions and Functions Meromorphically Starlike with Respect to Symmetric Conjugate Points
Copyright policy )On Meromorphically Starlike Functions and Functions Meromorphically Starlike with Respect to Symmetric Conjugate Points
Let \(\mu\) denote the class of functions \(f(z)={1\over z}+ \sum^\infty_{n=1} a_nz^n\) analytic and univalent in the punctured unit disk \(\Delta\setminus\{0\}\). If \(f\in\mu\) and \(\sum^\infty_{n=1} n|a_n|\leq 1\), then \(f\) is meromorphically starlike (that means that \(\text{Re }zf'(z)/f(z)< 0\) \((z\in\Delta\setminus\{0\})\)). Other results with infinite sum of coefficients of \(f\in\mu\) are obtained.
- Tongji University China (People's Republic of)
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Hadamard products (or convolution), Applied Mathematics, meromorphically starlike, operators, Analysis
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Hadamard products (or convolution), Applied Mathematics, meromorphically starlike, operators, Analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!