【摘要】 以B(λ)表示单位圆D内满足Supz∈D(1-|z|2)|f″(z)/f′(z)|≤2λ(0<λ<1)的局部单叶解析函数全体,该文研究了B(λ)函数族的增长及作为共形映照时其John的圆性质.更多还原

【Abstract】 Let B(λ) be the class of all locally univalent analytic functions in unit disk D that satisfy supz∈D(1-|z|~2)|f ″(z)/f ′(z)|≤2λ for f∈B(λ).In this paper,we investigate the growth property of the class B(λ) and John disk property when it’s conformal mapping.更多还原