【摘要】 本文考虑一般复Banach空间中单位球上和Cn中单位多圆柱上的正规化双全纯α(-π/2<α<π/2)型螺形映照f(其中x=0是f(x)-x的k+1阶零点),研究了它的构造,并得到其精细的增长、掩盖定理以及齐次展开式的精细估计．所得的结果包含了许多已知的结论．更多还原

【Abstract】 In this paper, we consider a normalized biholomorphic spirallike mapping of type α(-π/2 <α<π/2) f defined on the unit ball in a complex Banach space and the unit polydisk of Cn, where x=0 is a zero of order k+1 of f(x)-x, we investigate its construction, and the refining growth and covering theorems for f(x) and the refining estimation of the homogeneous expansion for f(x) is obtained. Our result includes many known conclusions.更多还原