Article ID Journal Published Year Pages File Type
4650449 Discrete Mathematics 2008 8 Pages PDF
Abstract

We extend the concept of a binomial coefficient to all integer values of its parameters. Our approach is purely algebraic, but we show that it is equivalent to the evaluation of binomial coefficients by means of the ΓΓ-function. In particular, we prove that the traditional rule of “negation” is wrong and should be substituted by a slightly more complex rule. We also show that the “cross product” rule remains valid for the extended definition.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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