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On Certain Sums of Products of Binomial Coefficients

Published online by Cambridge University Press:  03 November 2016

J. de Meulenaer
J. de Meulenaer*
Affiliation:
Union Carbide, European Research Associates, 95 Rue Gatti de Gamond, Burssels 18
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Extract

It is a standard textbook exercise to show that by considering the coefficients of xn first in (1 + x)n. (1 + x)n and then in (1 + x)2n It is the purpose of this note to show that formulas for a wide class of sums of products of binomial coefficients can be obtained by using Leibniz’ rule for the differential coefficient of a product; all expressions are derived for three indices, but generalization to any other number is obvious.

Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 369 , October 1965 , pp. 284 - 286
Copyright
Copyright © Mathematical Association 1965 

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