Decomposition of a recursive family of polynomials

被引：11

作者：

Dujella, Andrej ^{[1
]}

Gusic, Ivica

机构：

[1] Univ Zagreb, Dept Math, Bijenicka Cesta 30, Zagreb 10000, Croatia

[2] Univ Zagreb, Fac Chem Engn & Technol, Zagreb 10000, Croatia

来源：

MONATSHEFTE FUR MATHEMATIK | 2007年 / 152卷 / 02期

关键词：

polynomials; decomposition; Dickson polynomials;

D O I：

10.1007/s00605-007-0459-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a decomposition of the polynomials f(n) : f(n,B,a) defined by f(0) := B, f(1)(x) := x, f(n+1)(x) = xf(n)(x) - af(n-1)(x) where B and a are rational numbers. We also present an application to related Diophantine equations.

引用

页码：97 / 104

页数：8

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