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math.CA2002
Proof of a summation formula for an basic hypergeometric series conjectured by Warnaar
Christian Krattenthaler
A proof of an unusual summation formula for a basic hypergeometric series associated to the affine root system that was conjectured by Warnaar is given. It makes use o…
cond-mat.stat-mech2002
Vicious walkers, friendly walkers and Young tableaux III: Between two walls
Christian Krattenthaler, Anthony J. Guttmann, Xavier G. Viennot
We derive exact and asymptotic results for the number of star and watermelon configurations of vicious walkers confined to lie between two impenetrable walls, as well as for the an…