非整数级整函数零点的一些性质
Some properties of the zeros of entire functions with non-integral order
-
摘要: 对有限级整函数的级、零点的收敛指数与零点标准乘积的属性三者之间所满足的相互关系进行了讨论 .对整函数的级不是整数的情形 ,利用 Hadamard标准分解定理 ,进一步明晰其相互关系 ,并且给出了非整数级整函数的零点的一些性质Abstract: Using Hadamard's canonical product theorem we prove the given relations among the orders of finite order function,the convergence exponents of zeros and the class p of canonical product of zeros,in the case of non integral order.And then we present some properties of the zeros of entire function,with non integral order.