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    Cross Sequence

    Definition

    A sequence s_n^(λ)(x) = [h(t)]^λ s_n(x), where s_n(x) is a Sheffer sequence, h(t) is invertible, and λ ranges over the real numbers is called a Steffensen sequence. If s_n(x) is an associated Sheffer sequence, then s_n^(λ) is called a cross sequence. Examples include the actuarial polynomial and Poisson-Charlier polynomial.

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