A(p)函数类的两个子类

Two subclasses of A(p) functions

摘要: 设ｐ是正整数，以Ａ（ｐ）表示｜ｚ｜＜１内形如ｆ（ｚ）＝ｚｐ＋ ∑∞ｎ＝ｐ＋１ａｎｚｎ的解析函数全体．讨论了Ａ（ｐ）函数类的两个子类Ｑ（ｐ）α （ａ，ｂ；ｃ，ｄ）和Ｋ（ｐ）α （ａ，ｂ；ｃ，ｄ）之间的关系及系数估计，这些结果使Ｎｏｏｒ的工作得到了推广－

Abstract: Let p be a positive number and A(p) denote the class of functions f(z)=z p+∑∞k=p+1a kz k which are analytic in the unit disc.We define two subclasses Q (p) α(a,b;c,d) and K (p) α(a,b;c,d) of A(p) functions and discuss the relationship of the two subclasses and their coefficient estimation. The result of Noor is generalized.