Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part

Abstract

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… (More)
DOI: 10.1016/j.jat.2009.04.002

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