Geodesic
Generalized Chebyshev polynomials and Pell--Abel equation
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1123-1145

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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. 
@article{FPM_2001_7_4_a9,
     author = {A. V. Pastor},
     title = {Generalized {Chebyshev} polynomials and {Pell--Abel} equation},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1123--1145},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a9/}
}
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A. V. Pastor. Generalized Chebyshev polynomials and Pell--Abel equation. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1123-1145. http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a9/