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一类复数阶解析函数的性质
Properties and Application for a Class of Analytic Functions of Complex Order
【摘要】 对于一类由Salagean微分算子定义的复数阶解析函数,给出其充分条件。利用数学归纳法及正实部函数族Herglotz定理的推论,给出该类函数的系数估计不等式,研究并得到当参数取任意复数时其Fekete-Szeg不等式。
【Abstract】 A class of analytic functions defined by Salagean differential operator of complex order is introduced,and its sufficient condition is given.The inequality of coefficient and the Fekete-Szeg inequality of the new class are provided,by using mathematical induction and a deduction of Herglotz theorem.
【关键词】 解析函数;
复数阶;
系数估计;
Fekete-Szeg不等式;
【Key words】 analytic functions; complex order; coefficient estimation; fekete-Szeg inequality;
【Key words】 analytic functions; complex order; coefficient estimation; fekete-Szeg inequality;
- 【文献出处】 廊坊师范学院学报(自然科学版) ,Journal of Langfang Teachers College(Natural Science Edition) , 编辑部邮箱 ,2009年05期
- 【分类号】O174.51
- 【被引频次】1
- 【下载频次】60