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Convolution polynomials

Donald E. Knuth
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Abstract

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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Donald E. Knuth. 1992-07-01. Convolution polynomials. https://arxiv.org/abs/math/9207221

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