广义超几何函数定义的解析函数子类的性质

Properties of Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions

在单位圆盘E上引入一个新的用广义超几何函数定义的解析函数子类D^(b)_(l,p,q)(α,λ,c,ω,k),研究其包含关系及半径问题,得到与Bernardi-Libera-Livingston积分算子的联系.

A new class of analytic functions D^(b)_(l,p,q)(α,λ,c,ω,k)defined by generalized hypergeometric functions is introduced on the unit disk E. The inclusion relation and radius problem are studied,and the relation with Bernardi-Libera-Livingston integral operator is obtained.