Cari\~{n}ena polynomials are Jacobi polynomials
Classical Analysis and ODEs
2009-02-04 v1 Statistical Mechanics
Abstract
We show that the Cari\~{n}ena orthogonal polynomials are Jacobi polynomials; moreover, there exists a natural bijection between the negative and the positive curvature cases. These results hold only in the two dimensional case.
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Cite
@article{arxiv.0902.0451,
title = {Cari\~{n}ena polynomials are Jacobi polynomials},
author = {C. Vignat and P. W. Lamberti},
journal= {arXiv preprint arXiv:0902.0451},
year = {2009}
}
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