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    Stirling Polynomial

    Definition

    Polynomials S_k(x) which form the Sheffer sequence for g(t) | = | e^(-t) f^(-1)(t) | = | ln(1/(1 - e^(-t))), where f^(-1)(t) is the inverse function of f(t), and have generating function sum_(k = 0)^∞ (S_k(x))/(k!) t^k = (t/(1 - e^(-t)))^(x + 1).

    Associated person

    James Stirling

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