| 释义 |
Roman CoefficientA generalization of the Binomial Coefficient whose Notation was suggested by Knuth,
 | (1) |
 choose  .'' Whenever the Binomial Coefficient is defined (i.e.,  or  ), the Roman coefficient agrees with it. However, the Roman coefficients are defined for values forwhich the Binomial Coefficients are not, e.g.,
where
 | (4) |
The Roman coefficients also satisfy properties like those of the Binomial Coefficient,
 | (5) |
 | (6) |
 | (7) |
 | (8) |
References
Roman, S. ``The Logarithmic Binomial Formula.'' Amer. Math. Monthly 99, 641-648, 1992.
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