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    Projects > Hypergeometric Sequences in Combinatorics
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    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^n*sum(4^k*binomial(1/2,k)*binomial(-1/2,k)*binomial(-2*k,2*n-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.


    Last updated on 2022-20-04 at 13:56

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