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...quence to express formulas for the series coefficients of a given ordinary generating function. Test123. ...notation for coefficient extraction usually applied to formal [[generating functions]] in some complex variable, by denoting <math>[n^{-s}] D_f(s) =: f(n)</math ...

...|generating functions in classical mechanics|Generating function (physics)|generating function transformations in classical mechanics|canonical transformation}} ...weighted sums over the higher-order derivatives of these functions (see [[Generating function transformation#Derivative transformations|derivative transformatio ...

If <math>f , g : \mathbb{N}\to\mathbb{C}</math> are two arithmetic functions from the positive [[integer]]s to the [[complex number]]s, the ''Dirichlet ...ring theory)|unit]]s (invertible elements) of this ring are the arithmetic functions ''f'' with {{nowrap|''f''(1) ≠ 0}}. ...

...as Obama's adviser at the firm, and she joined him at several group social functions but declined his initial requests to date.<ref>Obama (2006), p. 329.</ref> ...ws |last=Lizza |first=Ryan |date=September 2004 |title=Why is Barack Obama generating more excitement among Democrats than John Kerry? |work=The Atlantic Monthly ...