整代数体函数的亏量

The Deficiency of the Integral Algebroid Function

研究了一类具有v+1个亏值的v-值整代数体函数,利用整代数体函数的级与特征函数及其亏值亏量的定义和性质,借助线性无关性、克兰姆法则、Jensen公式及对数导数定理进行分析推理,得出这类整代数体函数的所有亏量之和不超过v.

To study the v-value integral algebroidal function with v＋1 deficient values,the order and characteristic function and the deficiency quanta of integral algebroidal function are defined,also some conclusion of linearly independence,Cramer rule,Jensen formuh and logarithmic derivative Theorem are applied. At last,a result that the deficiency quanta of this kind of function is no more than v is obtained.