The Sum 16n Sigma(2n)(k=0) 4k (k(1/2)) (k(-1/2)) ((-2k)(2n-k)): A Third Proof of its Closed Form

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The Sum 16n Sigma(2n)(k=0) 4k (k(1/2)) (k(-1/2)) ((-2k)(2n-k)): A Third Proof of its Closed Form

Ira M. Gessel and Peter J. Larcombe

UTILITAS MATHEMATICA, Vol.80, pp.59-63

11/01/2009

Abstract

Selberg Integral

Applied Mathematics

We present a third proof of an interesting binomial coefficient identity using a generating function approach.

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Title: The Sum 16n Sigma(2n)(k=0) 4k (k(1/2)) (k(-1/2)) ((-2k)(2n-k)): A Third Proof of its Closed Form
Creators: Ira M. Gessel - Brandeis University, Department of Mathematics
Peter J. Larcombe - Univ Derby, Derbyshire Business Sch, Derby DE22 1GB, England
Publication Details: UTILITAS MATHEMATICA, Vol.80, pp.59-63
Publisher: Util Math Publ Inc
Number of pages: 5
Identifiers: 9924117777501921
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article