Value distribution theory and the research of Yang Lo
type: Item
instance of: scholarly article
title: Value distribution theory and the research of Yang Lo
zbMATH Open document ID: 1195.30005
published in: Science China. Mathematics
publication date: 2010-05-26T00:00:00Z
review text: This paper describes the important contributions due to Yang Lo in the field of value distribution theory of meromorphic functions over four decades. After a short introduction to the basic notions and key results of Nevanlinna theory, the main achievements due to Yang Lo are described in three sections: (1) Concerning angular distributions of meromorphic functions, his co-operation with Zhang Guanghou resulted in a number of remarkable results, including the Yang--Zhang theorem, that describes a close relation between the number of deficient values and the number of Borel directions. (2) As to the deficient values of meromorphic functions, the Yang Lo relation gives an extension involving multiplicities to the usual deficiency relation. (3) Finally, Yang Lo's results related to the Bloch principle for normal families are shortly presented. A complete list of publications by Yang Lo finishes the paper.
reviewed by: Ilpo Laine
Mathematics Subject Classification ID: 30-03
Mathematics Subject Classification ID: 30D10
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 5712107
zbMATH Keywords: meromorphic function
zbMATH Keywords: value distribution
zbMATH Keywords: deficient value
zbMATH Keywords: angular distribution
zbMATH Keywords: normal family
author: Walter K. Hayman
author: Shengjian Wu
MaRDI profile type: Publication
full work available at URL: s11425-010-0045-3
OpenAlex ID: W2012761967
cites work: Normal families and the Nevanlinna theory
cites work: A meromorphic function with assigned Nevanlinna deficiencies
cites work: On the Julia Directions and Borel Directions of Entire Functions
cites work: Existence and some properties of meromorphic functions for which Yang Le deficiency relation reaches equality.
cites work: Picard values of meromorphic functions and their derivatives
cites work: Q5540608
cites work: Über eine Defekt- und Verzweigungsrelation für die Ableitung meromorpher Funktionen. (On a defect and ramification relation for the derivate of meromorphic functions)
cites work: Q3958724
cites work: Normal Families and Shared Values
cites work: A Heuristic Principle in Complex Function Theory
cites work: Q4146972
DOI: 10.1007/S11425-010-0045-3
description: scientific article; zbMATH DE number 5712107