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ON THE SHARING VALUES OF algebroid functionS AND THEIR DERIVATIVES

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Acta Mathematica Scientia 2013年第1期33卷 268-278页

作者：刘惠芳孙道椿 Institute of Mathematics and Informatics Jiangxi Normal University School of Mathematics South China Normal University

In this paper, we define the shared value of an algebroid function and its derivative on its Riemann surface. By considering the relationship between the shared values and the branch points of algebroid functions and their derivatives, we obtain some uniqueness theorems of algebroid functions sharing values with their derivatives, which extend 3 IM shared values theorem of nonconstant meromorphic functions and their derivatives obtained by Mues-Steinmetz and Gundersen.

关键词： algebroid function function element shared value uniqueness

ON THE NEVANLINNA DIRECTION OF algebroid functionS

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Acta Mathematica Scientia 2012年第4期32卷 1441-1448页

作者：张洪申孙道椿 Department of Mathematics and Statistics Nanyang Normal UniversityNanyang 473061China School of Mathematical Sciences South China Normal UniversityGuangzhou 510631China

In this paper, we prove that for an algebroid function w（z）, the singular direction argz = φ0, satisfying that for arbitrary ε（0 〈 ε 〈 2/π） and any given α ∈ C^^,limr→＋∞ log τ/n（τ,φ0-ε,φ0＋ε,w=a... 详细信息

关键词： algebroid function Nevanlinna direction algebroid function Nevanlinna direction

ON algebroid functionS IN A SUBDOMAIN OF THE COMPLEX PLANE

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Acta Mathematica Scientia 1998年第4期18卷 394-398页

作者：余军扬 Shanghai Jiao Tong Univ Dept Appl Math Shanghai 200030 Peoples R China

This paper discusses some basic properties of algebroid functions in a subdomain of the complex plane and some similar results (to those in the whole complex plane) and a new situation are showed.

关键词： algebroid function subdomain function element analytic continuation

ON THE OPERATIONS OF algebroid functionS

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Acta Mathematica Scientia 2010年第1期30卷 247-256页

作者：孙道椿高宗升 School of Mathematics South Normal University LMIB and Department of Mathematics Beihang University

In this article, we first investigate the operational properties of algebroid functions. Then we prove two uniqueness theorems for algebroid functions.

关键词： algebroid function addition multiplication analytic image uniqueness theorem

ALGEBRAIC SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS

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Applied Mathematics(A Journal of Chinese Universities) 2005年第1期20卷 45-50页

作者： GaoLingyun Dept.ofMath. JinanUniversityGuangdong510632China.

Using value distribution theory and techniques,the problem of the algebroid solutions of second order algebraic differential equation is *** show that the results are sharp.

关键词： algebraic solution algebroid function differential equations.