Geodesic
Orthogonal polynomials associated with the deltoid curve
Olfa Zribi1
1 Institut de Mathématiques de Toulouse Université Paul Sabatier 118, route de Narbonne Toulouse, France and Département de Mathématiques Université El Manar, Tunis, Tunesia
Colloquium Mathematicum, Tome 147 (2017) no. 1, pp. 1-34

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study a family of bivariate orthogonal polynomials associated to the deltoid curve. These polynomials arise when classifying bivariate diffusion operators that have discrete spectral decomposition given by orthogonal polynomials with respect to some compactly supported probability measure on the interior of the deltoid curve.
DOI : 10.4064/cm6564-12-2015
Keywords: study family bivariate orthogonal polynomials associated deltoid curve these polynomials arise classifying bivariate diffusion operators have discrete spectral decomposition given orthogonal polynomials respect compactly supported probability measure interior deltoid curve

Olfa Zribi 1

1 Institut de Mathématiques de Toulouse Université Paul Sabatier 118, route de Narbonne Toulouse, France and Département de Mathématiques Université El Manar, Tunis, Tunesia 
@article{10_4064_cm6564_12_2015,
     author = {Olfa Zribi},
     title = {Orthogonal polynomials associated with the deltoid curve},
     journal = {Colloquium Mathematicum},
     pages = {1--34},
     publisher = {mathdoc},
     volume = {147},
     number = {1},
     year = {2017},
     doi = {10.4064/cm6564-12-2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6564-12-2015/}
}
TY  - JOUR
AU  - Olfa Zribi
TI  - Orthogonal polynomials associated with the deltoid curve
JO  - Colloquium Mathematicum
PY  - 2017
SP  - 1
EP  - 34
VL  - 147
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm6564-12-2015/
DO  - 10.4064/cm6564-12-2015
LA  - en
ID  - 10_4064_cm6564_12_2015
ER  - 
%0 Journal Article
%A Olfa Zribi
%T Orthogonal polynomials associated with the deltoid curve
%J Colloquium Mathematicum
%D 2017
%P 1-34
%V 147
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm6564-12-2015/
%R 10.4064/cm6564-12-2015
%G en
%F 10_4064_cm6564_12_2015
Olfa Zribi. Orthogonal polynomials associated with the deltoid curve. Colloquium Mathematicum, Tome 147 (2017) no. 1, pp. 1-34. doi: 10.4064/cm6564-12-2015

Cité par Sources :