WZ-style certification and sister celine's technique for abel-type sums

DOI10.1080/10236199608808042zbMath0863.05009OpenAlexW2006007659MaRDI QIDQ4890083

John E. Majewicz

Publication date: 30 October 1996

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199608808042

zbMATH Keywords

automatic summationWZ methodhypergeometric summationAbel identitiesSister Celine's techniqueAbel-type sumsalgorithmic summation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Additive difference equations (39A10) Abel, Borel and power series methods (40G10) Hypergeometric functions (33C99)

Related Items

Some open problems related to creative telescoping ⋮ On the convergence of the method for indefinite integration of oscillatory and singular functions ⋮ Creative Telescoping for Holonomic Functions

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• An algorithmic proof theory for hypergeometric (ordinary and ``\(q\)) multisum/integral identities
• Some generalized hypergeometric polynomials