Generalized Chebyshev polynomials

Calculation of generalized Chebyshev polynomials

performed by Yuri Matiyasevich

Generalized Chebyshev polynomials have been introduced in

: G.B.Shabat and I.A.Voevodskii
: Drawing curves over number fields
: The Grothendieck Festschift, vol.3, Birkhäuser, 1990, pp. 199-227.

These polynomials are also known as Shabat polynomials. These polynomials are special case of Belyi functions

At the end of 1990's I wrote a program for calculating generalized Chebyshev polynomials and found a number of them. The method was oulined in a short paper and two examples were put on WWW. A (slightly modified) version of the program is available.