Discrete multiple orthogonal polynomials on shifted lattices

29 Aug 2019  ·  Dyachenko Alexander, Lysov Vladimir ·

We introduce a new class of polynomials of multiple orthogonality with respect to the product of $r$ classical discrete weights on integer lattices with noninteger shifts. We give explicit representations in the form of the Rodrigues formulas. The case of two weights is described in detail.

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Classical Analysis and ODEs