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A Binomial Identity via Differential Equations

D. Aharonov and U. Elias
The American Mathematical Monthly
Vol. 120, No. 5 (May 2013), pp. 462-466
DOI: 10.4169/amer.math.monthly.120.05.462
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.120.05.462
Page Count: 5
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A Binomial Identity via Differential Equations
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Abstract

Abstract In the following we discuss a well-known binomial identity. Many proofs by different methods are known for this identity. Here we present another proof, which uses linear ordinary differential equations of the first order.

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