Binomial-Type Sequence

A sequence of polynomials p_n satisfying the identities

 p_n(x+y)=sum_(k>=0)(n; k)p_k(x)p_(n-k)(y).

See also

Binomial Identity, Sheffer Sequence, Umbral Calculus

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Rota, G.-C.; Kahaner, D.; Odlyzko, A. "On the Foundations of Combinatorial Theory. VIII: Finite Operator Calculus." J. Math. Anal. Appl. 42, 684-760, 1973.

Referenced on Wolfram|Alpha

Binomial-Type Sequence

Cite this as:

Weisstein, Eric W. "Binomial-Type Sequence." From MathWorld--A Wolfram Web Resource.

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