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Convolution Polynomials

Volume 2, Issue 4
Fall 1992
Donald E. Knuth, Stanford University

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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