Orthogonal polynomials and operator orderings
نویسندگان
چکیده
منابع مشابه
Multivariate Orthogonal Polynomials and Operator Theory
The multivariate orthogonal polynomials are related to a family of commuting selfadjoint operators. The spectral theorem for these operators is used to prove that a polynomial sequence satisfying a vector-matrix form of the three-term relation is orthonormal with a determinate measure.
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From the Rodrigues representation of polynomial eigenfunctions of a second order linear hypergeometric-type differential (difference or q-difference) operator, complementary polynomials for classical orthogonal polynomials are constructed using a straightforward method. Thus a generating function in a closed form is obtained. For the complementary polynomials we present a second order linear hy...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2010
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3372526