【摘要】 Faber多项式通常被用来研究单叶函数的性质,同时也提供了用多项式逼近区域内的解析函数的一个有价值的工具.本文给出一个关于∑类单叶函数的Faber多项式递推公式,并由此得到计算Faber系数的新公式,在一定情形下,它比已有的公式更为简单.更多还原

【Abstract】 Faber polynomials are used to study the properties of univalent functions, and also provide a valuable tool for approximating analytic functions on domains by polynomials. In this note the author gives a recursion relation of Faber polynomials with respect to univalent functions of the class ∑, and from this a new computable formula for the Faber coefficients of analytic functions is obtained. Under certain circumstances it is simpler.更多还原