Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part
نویسنده
چکیده
Orthogonality of the Jacobi and of Laguerre polynomials, P (α,β) n and L (α) n , is established for α, β ∈ C \ Z−, α + β 6= −2,−3, . . . using the Hadamard finite part of the integral which gives their orthogonality in the classical cases. Riemann-Hilbert problems that these polynomials satisfy are found. The results are formally similar to the ones in the classical case (when Rα,Rβ > −1).
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 162 شماره
صفحات -
تاریخ انتشار 2010