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arxiv: math/9207221 · v1 · submitted 1992-07-01 · 🧮 math.CA

Convolution polynomials

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keywords polynomialspowerpropertiesapproximatingariseasymptoticallycasescloses
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The polynomials that arise as coefficients when a power series is raised to the power $x$ include many important special cases, which have surprising properties that are not widely known. This paper explains how to recognize and use such properties, and it closes with a general result about approximating such polynomials asymptotically.

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