Abstract
Orthogonal polynomials on the multivariate negative binomial distribution, (1 + Θ) −α−x( π j=0 p Θ j xj x j! ) Γ(α + x) Γ(α) where α > 0, Θ 1 > 0, x = Σ Θ i , x 0, x 1, …, x p = 0,1, … are constructed and their properties studied.
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