Last Updated
：2025/11/29
generating function
Noun
Japanese Meaning
数学において、係数が数列を符号化するための一変項形式的冪級数。数列の性質を解析するために、級数の代数的操作により調べる対象となる。 / また、複数の数列や複数の変数を符号化する一般化された形式も指し、応用に応じた形式が存在する。
（ plural ）
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(mathematics) A formal power series with one indeterminate, whose coefficients encode a sequence that can be studied by algebraic manipulation of the series; any one of several generalizations, such as to encode more than one sequence or use more than one indeterminate.
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generating function
To study the sequence of partition numbers, the mathematician constructed a generating function whose coefficients encode the sequence as a formal power series in one indeterminate.
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To study the sequence of partition numbers, the mathematician constructed a generating function whose coefficients encode the sequence as a formal power series in one indeterminate.
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