Toda and Laguerre–Freud equations and tau functions for hypergeometric discrete multiple orthogonal polynomials
Itsaso Fernández-Irisarri,
Manuel Mañas
Abstract:In this paper, the authors investigate the case of discrete multiple orthogonal polynomials with two weights on the step line, which satisfy Pearson equations. The discrete multiple orthogonal polynomials in question are expressed in terms of $$\tau $$
τ
-functions, which are double Wronskians of generalized hypergeometric series. The shifts in the spectral parameter for type II and type I multiple orthogonal polynomials are described using banded matrices. It is demonstrated … Show more
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