Delta Operator - Basic Polynomials

Basic Polynomials

Every delta operator has a unique sequence of "basic polynomials", a polynomial sequence defined by three conditions:

Such a sequence of basic polynomials is always of binomial type, and it can be shown that no other sequences of binomial type exist. If the first two conditions above are dropped, then the third condition says this polynomial sequence is a Sheffer sequence -- a more general concept.

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