How to generate all possible rational Wilf-Zeilberger pairs?

Shaoshi Chen

How to generate all possible rational Wilf-Zeilberger pairs?

Combinatorics 2018-06-13 v4 Symbolic Computation

Authors: Shaoshi Chen

Abstract

A Wilf--Zeilberger pair $(F, G)$ in the discrete case satisfies the equation $F(n+1, k) - F(n, k) = G(n, k+1) - G(n, k)$ . We present a structural description of all possible rational Wilf--Zeilberger pairs and their continuous and mixed analogues.

Keywords

wilf-zeilberger pairs rational functions discrete equations continuous analogues mixed analogues structural description

Cite

@article{arxiv.1802.09798,
  title  = {How to generate all possible rational Wilf-Zeilberger pairs?},
  author = {Shaoshi Chen},
  journal= {arXiv preprint arXiv:1802.09798},
  year   = {2018}
}

Comments

17 pages, add the notion of pseudo residues in the differential case, and some related papers in the reference, ACMES special volume in the Fields Institute Communications series, 2018

How to generate all possible rational Wilf-Zeilberger pairs?

Abstract

Keywords

Cite

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