Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials

The discrete orthogonality relations hold for all the orthogonal polynomials obeying three term recurrence relations. We show that they also multi-indexed Laguerre and Jacobi polynomials, which are new obtained by deforming these classical polynomials. could be considered as a more encompassing characterization of than As start at positive degree ℓD≥1, broken. extra ℓD “lower polynomials,” necessary relations, identified. corresponding Christoffel numbers determined. main results blow-up analysis second order differential operators governing around zeros ℓD+N. shown to another group “new” called Krein–Adler based on Hermite, Laguerre,