解析函數中某一特殊族之零點分佈情形

Abstract

This paper deals with a specific class S' of entire functions and finds sufficient conditions on the Maclaurin coefficients of an entire function f(z)ε S',so that there exists a parabolic region H, free of zeros of f(z) and all its partial aums, in the right-half plane symmetric about the nonegative real axis. Moreover, we study the asymtotic bahavior of the width function Gf of f(z)ε S' and solve a conjecture an Gf partially.