Article ID Journal Published Year Pages File Type
4607745 Journal of Approximation Theory 2010 12 Pages PDF
Abstract

Orthogonality of the Jacobi and Laguerre polynomials, Pn(α,β) and Ln(α), is established for α,β∈C∖Z−,α+β≠−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>−1ℜα,ℜβ>−1).

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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