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

Authors:
Rodica D. Costin
Affiliations:
Department of Mathematics, The Ohio State University, Columbus, OH, United States
Venue:
Journal of Approximation Theory
Year:
2010

Citing 2
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Abstract

Orthogonality of the Jacobi and Laguerre polynomials, P"n^(^@a^,^@b^) and L"n^(^@a^), is established for @a,@b@?C@?Z"-,@a+@b-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 @?@a,@?@b-1).