English

A simple proof of Andrews's 5F4 evaluation

Classical Analysis and ODEs 2015-09-16 v1 Combinatorics

Abstract

We give a simple proof of George Andrews's balanced 5F4 evaluation using two fundamental principles: the nth difference of a polynomial of degree less than n is zero, and a polynomial of degree n that vanishes at n+1 points is identically zero.

Cite

@article{arxiv.1303.1757,
  title  = {A simple proof of Andrews's 5F4 evaluation},
  author = {Ira M. Gessel},
  journal= {arXiv preprint arXiv:1303.1757},
  year   = {2015}
}
R2 v1 2026-06-21T23:38:20.649Z