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    Exponential Generating Function

    Definition

    An exponential generating function for the integer sequence a_0, a_1, ... is a function E(x) such that E(x) | = | sum_(k = 0)^∞ a_k x^k/(k!) | = | a_0 + a_1 x/(1!) + a_2 x^2/(2!) + ....

    Related term

    generating function

    Related Wolfram Language symbol

    ExponentialGeneratingFunction

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