A Determinant Expression of Tchebychev Polynomials
Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 243-246
Voir la notice de l'article provenant de la source Cambridge University Press
A certain n x n determinant, namely that in (1), provides a rather simple expression for the Tchebychev polynomial Tn(x) = cos n(cos-1x). This determinant also leads to an interesting combinatorial interpretation of the coefficients in that polynomial.
Korsak, A.; Schubert, C. A Determinant Expression of Tchebychev Polynomials. Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 243-246. doi: 10.4153/CMB-1960-030-6
@article{10_4153_CMB_1960_030_6,
author = {Korsak, A. and Schubert, C.},
title = {A {Determinant} {Expression} of {Tchebychev} {Polynomials}},
journal = {Canadian mathematical bulletin},
pages = {243--246},
year = {1960},
volume = {3},
number = {3},
doi = {10.4153/CMB-1960-030-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1960-030-6/}
}
TY - JOUR AU - Korsak, A. AU - Schubert, C. TI - A Determinant Expression of Tchebychev Polynomials JO - Canadian mathematical bulletin PY - 1960 SP - 243 EP - 246 VL - 3 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1960-030-6/ DO - 10.4153/CMB-1960-030-6 ID - 10_4153_CMB_1960_030_6 ER -
[1] 1. Aitken, A. C., Determinants and Matrices, (New York, 1944), §51. Google Scholar
Cité par Sources :