Last Updated
：2025/12/05
exponential generating function
Noun
Japanese Meaning
（数学）指数的生成関数とは、1つの不定元を持つ形式的冪級数であり、各係数は、その不定元の冪に対応する階乗で割られた分数の形を取り、各分子は解析対象となる数列の項を表す。
（ plural ）
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(mathematics) A formal power series with one indeterminate, whose coefficients are fractions with factorial denominators (of index corresponding to the power of the indeterminate) and numerators which represent a sequence of numbers that is to be studied.
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exponential generating function
To study the number of labelled trees on n vertices, combinatorialists often consider the exponential generating function whose coefficients are the terms of the sequence divided by factorials.
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To study the number of labelled trees on n vertices, combinatorialists often consider the exponential generating function whose coefficients are the terms of the sequence divided by factorials.
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