Faber polynomials, Cayley-Hamilton equation and Newton symmetric functions

被引：23

作者：

Bouali, A ^{[1
]}

机构：

[1] Univ Bordeaux 1, Lab Bordelais Anal & Geometrie, Inst Math, F-33405 Talence, France

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2006年 / 130卷 / 01期

关键词：

Faber polynomials; Cayley-Hamilton theorem;

D O I：

10.1016/j.bulsci.2005.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an explicit formula for the Faber polynomials and for generalized Faber polynomials introduced by H. Airault and J. Ren in [H. Airault, J. Ren, An algebra of differential operators and generating functions on the set of univalent functions, Bull. Sci. Math. 126 (5) (2002) 343-367]. We introduce a new family of polynomials related to the Faber polynomials of the second kind. This allows us to give a generalized Cayley-Hamilton equation. (c) 2005 Elsevier SAS. All rights reserved.

引用

页码：49 / 70

页数：22

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