Geodesic
The Resultant of Chebyshev Polynomials
Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 288-296

Voir la notice de l'article provenant de la source Cambridge

DOI

Let ${{T}_{n}}$ denote the $n$ -th Chebyshev polynomial of the first kind, and let ${{U}_{n}}$ denote the $n$ -th Chebyshev polynomial of the second kind. We give an explicit formula for the resultant res $({{T}_{m}},\,{{T}_{n}})$ . Similarly, we give a formula for res $({{U}_{m}},\,{{U}_{n}})$ .
DOI : 10.4153/CMB-2011-013-1
Mots-clés : 11Y11, 68W20, resultant, Chebyshev polynomial 
Jacobs, David P.; Rayes, Mohamed O.; Trevisan, Vilmar. The Resultant of Chebyshev Polynomials. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 288-296. doi: 10.4153/CMB-2011-013-1
@article{10_4153_CMB_2011_013_1,
     author = {Jacobs, David P. and Rayes, Mohamed O. and Trevisan, Vilmar},
     title = {The {Resultant} of {Chebyshev} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {288--296},
     year = {2011},
     volume = {54},
     number = {2},
     doi = {10.4153/CMB-2011-013-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-013-1/}
}
TY  - JOUR
AU  - Jacobs, David P.
AU  - Rayes, Mohamed O.
AU  - Trevisan, Vilmar
TI  - The Resultant of Chebyshev Polynomials
JO  - Canadian mathematical bulletin
PY  - 2011
SP  - 288
EP  - 296
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-013-1/
DO  - 10.4153/CMB-2011-013-1
ID  - 10_4153_CMB_2011_013_1
ER  - 
%0 Journal Article
%A Jacobs, David P.
%A Rayes, Mohamed O.
%A Trevisan, Vilmar
%T The Resultant of Chebyshev Polynomials
%J Canadian mathematical bulletin
%D 2011
%P 288-296
%V 54
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-013-1/
%R 10.4153/CMB-2011-013-1
%F 10_4153_CMB_2011_013_1

Cité par Sources :