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A generating function is a way of encoding an infinite sequence of numbers by treating them as the coefficients of a formal power series. Tag questions involving generating functions in this.

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Euler characteristics and operator indices as exponents for Laurent polynomials

Knot polynomials like the Jones polynomial Perturbative expansions of Feynman Integrals Heat kernel asymptotics, and other universal polynomials in characteristic classes. Generating functions associ …
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