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代数体函数与其系数函数的增长级关系
THE RELATIONSHIP BETWEEN THE ORDER OF ALGEBROID FUNCTION AND THE ORDERS OF ITS COEFFICIENTS
【摘要】 应用代数体函数的Nevanlinna特征与Valiron特征,系统地研究了由v+1个整函数{A_j(z)}_j~v=0为系数所决定的代数体函数的级与A_j(z)(0≤j≤v)的级之间的关系;进而可以方便地求出代数体函数的级.
【Abstract】 The relationship between the order of algebroid function determined by v+ 1 entire functions {A_j(z)}_j~v=0,and the order of A_j(z)(0≤j≤v) is investigated by using Nevanlinna character and Valiron character of the algebroid functions.Based on these results, the order of an algebroid function can be calculated conveniently.
【基金】 国家自然科学基金(10771011)资助
- 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2008年07期
- 【分类号】O174.5
- 【被引频次】1
- 【下载频次】77