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Finite differences and orthogonal polynomials

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 1994
There exist a sequence of orthogonal polynomials found by Karlin and McGregor and by Carlitz. These functions have a nice explicit representation as a \({}_ 2F_ 0\)-series, but it is difficult to deduce directly from this representation that these functions are in fact polynomials and not just rational functions.
openaire   +2 more sources

Difference equations for some orthogonal polynomials [PDF]

open access: yesPacific Journal of Mathematics, 1969
Krall, H. L., Sheffer, I. M.
openaire   +3 more sources

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