A proof of Kummer's theorem

Details A proof of Kummer's theorem A proof of Kummer's theorem

1999-04-14

arxiv.org/abs/math/9904061v2

Mathematics

Classical Analysis and ODEs

LaTeX2e, 10 pages

Scientific paper

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.

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