关键词: 解析函数, 复阶, 系数估计

Abstract:

The author introduces and investigates the various properties and characteristics of two subclasses P(λ, b, n, A, B) and \widehat{P}(λ, b, n, A, B) of analytic functions with complex order. In particular, a sufficient condition for a function to be in P(λ, b, n, A, B) and coefficient estimates of the class are studied. Furthermore, a subordination relationship involving the function class \widehat{P}(λ, b, n, A, B)
and partial sums of this class are considered. The results obtained in the paper extend some known theorems.

Key words: Analytic functions, Complex order, Coefficient estimates