A class of matrix-valued polynomials generalizing Jacobi polynomials
نویسندگان
چکیده
منابع مشابه
A class of matrix-valued polynomials generalizing Jacobi polynomials
A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential operators. Each class of polynomials is complete, satisfies a two-step recurrence relation, integral inter-relations, and quasi-orthogonality relations. 1. Motivation The understanding of matrix-valued orthogonal polynomi...
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The relativistic Hermite polynomials (RHP) were introduced in 1991 by Aldaya et al. [3] in a generalization of the theory of the quantum harmonic oscillator to the relativistic context. These polynomials were later related to the more classical Gegenbauer (or more generally Jacobi) polynomials in a study by Nagel [4]. For this reason, they do not deserve any special study since their properties...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2009
ISSN: 0021-9045
DOI: 10.1016/j.jat.2009.01.005