一类整函数零点的渐近公式

Asymptotic Formulae of Zeros of a Class of Entire Function

借助Rouché定理、留数定理及渐近分析的方法,给出了整函数f(z)=zmsinz-a(0≠a热∈R,m热∈Z+)零点的渐近公式及渐近迹.这种方法也适用于其它整函数的零点估计.

With the help of Rouche＇s theorem,residue theorem and the methods of asymptotic analysis,we give asymptotic formulae and asymptotic traces for zeros of entir function f（z）=zmsinz-a（0≠a∈R,m∈Z＋）.This method can be used to estimate zeros of general entire functions.