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代数体函数与其系数函数的增长级关系Ⅱ 被引量:1

The Relation between the Orders of Algebroid Functions and their CoefficientsⅡ
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摘要 该文进一步研究了以v+1个无公共零点的整函数{A_j(z)}_j^v=0为系数的方程所确定的任意一个代数体函数的增长级与A_j(z)(0≤j≤v)的增长级之间的关系,推广了文献[6-7]中的相关结论. In this paper, we study the relation between the order of algebroid functions, determined by u + 1 entire functions (Aj (z)}jv=0 without common zeros, and the order of Aj(z)(0≤j≤v), and improve some related results of Sun and Kong[6] and Wang and Gao.
作者 王松敏
出处 《数学物理学报(A辑)》 CSCD 北大核心 2011年第6期1647-1653,共7页 Acta Mathematica Scientia
关键词 代数体函数 系数 典型乘积. Algebroid function O:rder Confficient Canonical Product.
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  • 1孙道椿.代数体函数的增长性[J].华南师范大学学报(自然科学版),2006,38(3):1-6. 被引量:7
  • 2孙道椿,高宗升.代数体函数的定理[J].数学学报(中文版),2006,49(5):1027-1032. 被引量:20
  • 3Valiron G. Sur la derivee des fonctions algebroides. Bull. Soc. Math. Franace, 1929, 59(1): 17-39.
  • 4Katejamaki K. Algebroid solutions of binomial and linear differential equations. Annales Academia Scientiarum Fennica Mathematica Dissertationes, 1993, 90: 1-48.
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  • 8Sun Daochun, Gao Zhongsheng. The uniqueness theorem of algebroid function. Journal of South China Normal University, 2005, (3): 80-85.
  • 9Yi Hongxun, Yang Chongjun. Uniqueness Theory of Meromorphic Functions. Beijing: Science press, 1995.
  • 10Yang Lo. Distribution of Values and Its New Study. Beijing: Science Press, 1982.

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