A proof of Kummer's theorem
Classical Analysis and ODEs
2007-05-23 v2
Abstract
Following suggestions of T. H. Koornwinder, we give a new proof of Kummer's theorem involving Zeilberger's algorithm, the WZ method and asymptotic estimates. In the first section, we recall a classical proof given by L. J. Slater. The second section discusses the new proof, in the third section sketches of similar proofs for Bailey's and Dixon's theorems are given.
Cite
@article{arxiv.math/9904061,
title = {A proof of Kummer's theorem},
author = {Bruno Gauthier},
journal= {arXiv preprint arXiv:math/9904061},
year = {2007}
}
Comments
LaTeX2e, 10 pages