Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4650449 | Discrete Mathematics | 2008 | 8 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Renzo Sprugnoli,