Abstract
It is proven that every sequence from the Askey scheme of hypergeometric polynomials satisfies differentials or difference equations of first order of the form $T p_{n}(x) = A_{n}(x) p_{n-1}(x) - B_{n}(x) p_{n}(x)$, where T is a linear degree reducing operator, which leeds to the fact that these polynomial sets satisfy a relation of the form $p^{'}_{n}(x) = A_{n}(x) p_{n-1}(x) - B_{n}(x) p_{n}(x)$.
Citation
Inna Nikolova. "Difference Equations for Hypergeometric Polynomials from the Askey Scheme. Some Resultants. Discriminants,." Methods Appl. Anal. 11 (1) 001 - 014, March 2004.
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