Jacobi polynomials from compatibility conditions
نویسندگان
چکیده
منابع مشابه
Jacobi Polynomials from Compatibility Conditions
We revisit the ladder operators for orthogonal polynomials and re-interpret two supplementary conditions as compatibility conditions of two linear over-determined systems; one involves the variation of the polynomials with respect to the variable z (spectral parameter) and the other a recurrence relation in n (the lattice variable). For the Jacobi weight w(x) = (1− x)(1 + x) , x ∈ [−1, 1], we s...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-04-07566-5