Hypergeometric Sequences in Combinatorics - Forschungsinformationssystem | Universität Kassel

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Hypergeometric Sequences in Combinatorics

Details zum Projekt

Projektlaufzeit: 01/2003–12/2010

Webseite: http://www.mathematik.uni-kassel.de/~koepf

Zusammenfassung

Many sequences in combinatorics like the Catalan numbers are hypergeometric. In the this project Catalan-like sequences are introduced and their properties are studied.

Forschungsfelder

Reine Mathematik

Publikationen

2009	Koepf, W., Larcombe, P.J., 2009. The Sum 16^nsum(4^kbinomial(1/2,k)binomial(-1/2,k)binomial(-2k,2n-k),k=0..2*n):A Computer Assisted Proof of its Closed Form, and Some Generalised Results. Utilitas Mathematica 79, 9–15.
2004	Larcombe, P.J., Fennessey, E.J., Koepf, W., 2004. Integral proofs of two alternating sign binomial coefficient identities. Utilitas Mathematica 66, 93–103.
2003	Larcombe, P.J., Fennessey, E.J., Koepf, W., 2003. On Gould’s identity No. 1.45. Utilitas Mathematica 64, 19–24.
2003	Larcombe, P.J., Fennessey, E.J., Koepf, W., French, D.R., 2003. The Catalan numbers re-visit the world series. Congressus Numerantium 165, 19–32.