代数体函数涉及重值的Borel点

摘要

研究了单位圆内代数体函数涉及重值的Borel点的存在性,利用型函数统一证明了单位圆内无穷级,有限正级和部分零级代数体函数存在涉及重值的Borel点,并对有限正级的代数体函数得到两个必要条件.%We study the existence of a Borel point for an algebroid function defined in the unit disk dealing with multiple values. By the type function we obtain its existence of algebroid functions of various order and two necessary conditions for algebroid functions of finite positive order.