FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 1123-1145

Generalized Chebyshev polynomials and Pell--Abel equation

A. V. Pastor

Abstract

View as HTML     View as gif image    View as LaTeX source

In this paper the question of the compositional reducibility of generalized Chebyshev polynomials is solved by studying the combinatorial structure of plane trees. As a particular case we deduce the criterion of minimality of the solution of Pell--Abel equation corresponding to a given plane tree. Some other applications are also considered.

All articles are published in Russian.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k01/k014/k01410h.htm
Last modified: April 17, 2002