A proof of Kummer's theorem
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 1999
 arXiv:
 arXiv:math/9904061
 Bibcode:
 1999math......4061G
 Keywords:

 Classical Analysis and ODEs
 EPrint:
 LaTeX2e, 10 pages