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Associated Sequence


A Sheffer sequence for (1,f(t)) is called the associated sequence for f(t), and a sequence s_n(x) of polynomials satisfying the orthogonality conditions

 <[f(t)]^k|s_n(x)>=n!delta_(nk),

where delta_(nk) is the delta function, is said to be associated to f(t).


See also

Sheffer Sequence

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References

Roman, S. The Umbral Calculus. New York: Academic Press, 1984.

Referenced on Wolfram|Alpha

Associated Sequence

Cite this as:

Weisstein, Eric W. "Associated Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AssociatedSequence.html

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