Asymptotics for the 4F3 polynomials
Journal of Approximation Theory
Multiple orthogonal polynomials
Journal of Computational and Applied Mathematics
Some classical multiple orthogonal polynomials
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
Some properties of multiple orthogonal polynomials associated with Macdonald functions
Journal of Computational and Applied Mathematics - Special issue on orthogonal polynomials, special functions and their applications
Some discrete multiple orthogonal polynomials
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Difference equations for discrete classical multiple orthogonal polynomials
Journal of Approximation Theory
On Askey-scheme and d-orthogonality, I: A characterization theorem
Journal of Computational and Applied Mathematics
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We introduce multiple Wilson polynomials, which give a new example of multiple orthogonal polynomials (Hermite-Padé polynomials) of type II. These polynomials can be written as a Jacobi-Piñeiro transform, which is a generalization of the Jacobi transform for Wilson polynomials, found by Koornwinder. Here we need to introduce Jacobi and Jacobi-Piñeiro polynomials with complex parameters. Some explicit formulas are provided for both Jacobi-Piñeiro and multiple Wilson polynomials, one of them in terms of Kampé de Fériet series. Finally, we look at some limiting relations and construct a part of a multiple AT-Askey table.