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A proof of Kummer's theorem

经典分析与常微分方程 2007-05-23 v2

摘要

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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引用

@article{arxiv.math/9904061,
  title  = {A proof of Kummer's theorem},
  author = {Bruno Gauthier},
  journal= {arXiv preprint arXiv:math/9904061},
  year   = {2007}
}

备注

LaTeX2e, 10 pages