Cari\~{n}ena polynomials are Jacobi polynomials
classification
🧮 math.CA
cond-mat.stat-mech
keywords
polynomialscarijacobibijectioncasecasescurvaturedimensional
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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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