A. Benoit, Développements de fonctions D-finies sur des polynômes de Tchebychev, 2008.

A. Bostan, F. Chyzak, and N. L. Roux, Skew-polynomial products by evaluation and interpolation

A. Bostan, F. Chyzak, and N. L. Roux, Products of ordinary differential operators by evaluation and interpolation, Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, ISSAC '08, pp.23-30, 2008.
DOI : 10.1145/1390768.1390775

URL : https://hal.archives-ouvertes.fr/inria-00273148

M. Bronstein and M. Petkov?ek, An introduction to pseudo-linear algebra, Theoretical Computer Science, vol.157, issue.1, pp.3-33, 1996.
DOI : 10.1016/0304-3975(95)00173-5

URL : http://doi.org/10.1016/0304-3975(95)00173-5

C. W. Clenshaw, The numerical solution of linear differential equations in Chebyshev series, Proceedings of the Cambridge Philosophical Society, pp.134-149, 1957.
DOI : 10.1017/S0305004100032072

L. Fox and I. B. Parker, Chebyshev polynomials in numerical analysis, 1968.

K. O. Geddes, Symbolic computation of recurrence equations for the Chebyshev series solution of linear ODE's, Proceedings of the 1977 MACSYMA User's Conference, pp.405-423, 1977.

A. Gil, J. Segura, and N. M. Temme, Numerical methods for special functions, Society for Industrial and Applied Mathematics (SIAM), 2007.
DOI : 10.1137/1.9780898717822

S. Lewanowicz, Construction of a recurrence relation of the lowest order for coefficients of the Gegenbauer series, Zastosowania Matematyki, XV, issue.3, pp.345-395, 1976.

L. Yudell and . Luke, The special functions and their approximations, II. Mathematics in Science and Engineering, vol.53, 1969.

O. Ore, Theory of Non-Commutative Polynomials, The Annals of Mathematics, vol.34, issue.3, pp.480-508, 1933.
DOI : 10.2307/1968173

S. Paszkowski, Zastosowania numeryczne wielomianów i szeregów Czebyszewa

. Pa´nstwowepa´nstwowe-wydawnictwo-naukowe, Podstawowe Algorytmy Numeryczne. [Fundamental Numerical Algorithms, 1975.

L. Rebillard and H. Zakraj?ek, RECURRENCE RELATIONS FOR THE COEFFICIENTS IN HYPERGEOMETRIC SERIES EXPANSIONS, Computer Algebra 2006, pp.158-180, 2006.
DOI : 10.1142/9789812778857_0010

L. Rebillard, ´ Etude théorique et algorithmique des séries de Chebyshev solutions d'´ equations différentielles holonomes, 1998.

N. Lloyd and . Trefethen, Computing numerically with functions instead of numbers, Math. Comput . Sci, vol.1, issue.1, pp.9-19, 2007.

J. Van-der-hoeven, FFT-like Multiplication of Linear Differential Operators, Journal of Symbolic Computation, vol.33, issue.1, pp.123-127, 2002.
DOI : 10.1006/jsco.2000.0496

J. Von, Z. Gathen, and J. Gerhard, Modern computer algebra, 1999.

J. Wimp, Computation with Recurrence Relations Algorithms Project, Inria Paris-Rocquencourt E-mail address: Alexandre, 1984.