Connection Coefficients
Since the falling factorials are a basis for the polynomial ring, we can re-express the product of two of them as a linear combination of falling factorials:
The coefficients of the (x)m+n-k, called connection coefficients, have a combinatorial interpretation as the number of ways to identify (or glue together) k elements each from a set of size m and a set of size n.
Read more about this topic: Pochhammer Symbol
Famous quotes containing the word connection:
“Parents have railed against shelters near schools, but no one has made any connection between the crazed consumerism of our kids and their elders cold unconcern toward others. Maybe the homeless are not the only ones who need to spend time in these places to thaw out.”
—Anna Quindlen (b. 1952)
Related Phrases
Related Words