Hypergeometric Sequences in Combinatorics - Research Information System | University of Kassel

without external funding

Hypergeometric Sequences in Combinatorics

Project Details

Project duration: 01/2003–12/2010

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

Abstract

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

Research Areas

Pure Mathematics

Publications

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.