Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607745 | Journal of Approximation Theory | 2010 | 12 Pages |
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
Authors
Rodica D. Costin,