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一类P叶解析函数
引用本文:朱彪. 一类P叶解析函数[J]. 苏州大学学报(医学版), 1994, 10(4): 321-326
作者姓名:朱彪
作者单位:苏州大学数学系
摘    要:

关 键 词:解析函数 P叶函数 从属 阿达玛乘积

A CLASS OF P-VALENT ANALYTIC FUNCTIONS
Zhu Biao. A CLASS OF P-VALENT ANALYTIC FUNCTIONS[J]. Journal of Suzhou University(Natural Science), 1994, 10(4): 321-326
Authors:Zhu Biao
Affiliation:Zhu BiaoDepartment of Mathematics,Suzhou University)
Abstract:Let p(n,A,B) denote the class of functions f(z)=which areanalytic in the unit disc E and satisfy the conditionwhere p is a positive integer, n is any nonnegative integer,andWe show that the functions in are p-valent. Thenwe obtain class preserving integral operators, sharp coefficient estimates and a closure theorem for the class (n.A.B). We also obtain a sufficient condition, in terms of coefficients, for a function to be in (n.A,B) when B<0.
Keywords:Analytic Function  p-Valent Function  Subordination  Hadamard product  Integral.
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