一类与余弦函数有关的解析函数的三阶Hankel和Toeplitz行列式

2019-09-10 07:22张海燕王晓英
赤峰学院学报·自然科学版 2019年6期
关键词:三阶行列式余弦

张海燕 王晓英

摘要:设Sc*是一类定义在单位圆盘D={z:|z|<1}内解析的正規化函数,且满足≺cosz(z∈D).本文主要研究了与余弦函数有关的函数类Sc*的三阶Hankel行列式H3(1)和Toeplitz行列式T3(2),并得到其上界估计.

关键词:解析函数;三阶Hankel行列式;三阶Toeplitz行列式;上界估计

中图分类号:O174.5  文献标识码:A  文章编号:1673-260X(2019)06-0014-03

1 引言与预备知识

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