|
Fundamentalnaya i Prikladnaya Matematika, 2001, Volume 7, Issue 4, Pages 1123–1145
(Mi fpm618)
|
|
|
|
This article is cited in 4 scientific papers (total in 4 papers)
Generalized Chebyshev polynomials and Pell–Abel equation
A. V. Pastor St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
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.
Received: 01.02.1998
Citation:
A. V. Pastor, “Generalized Chebyshev polynomials and Pell–Abel equation”, Fundam. Prikl. Mat., 7:4 (2001), 1123–1145
Linking options:
https://www.mathnet.ru/eng/fpm618 https://www.mathnet.ru/eng/fpm/v7/i4/p1123
|
Statistics & downloads: |
Abstract page: | 1126 | Full-text PDF : | 591 | First page: | 1 |
|