Upward Extension of the Jacobi Matrix for Orthogonal Polynomials
نویسندگان
چکیده
منابع مشابه
Upward Extension of the Jacobi Matrix for Orthogonal Polynomials
Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) which uniquely characterizes the orthogonal polynomials. We investigate new orthogonal polynomials by adding to the Jacobi matrix r new rows and columns, so that the original Jacobi matrix is shifted downward. The r new...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1996
ISSN: 0021-9045
DOI: 10.1006/jath.1996.0074