English

Convolution polynomials

Classical Analysis and ODEs 2008-02-03 v1

Abstract

The polynomials that arise as coefficients when a power series is raised to the power xx 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.

Keywords

Cite

@article{arxiv.math/9207221,
  title  = {Convolution polynomials},
  author = {Donald E. Knuth},
  journal= {arXiv preprint arXiv:math/9207221},
  year   = {2008}
}