Pochhammer Symbol - Connection Coefficients

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:

    “Morality becomes hypocrisy if it means accepting mothers’ suffering or dying in connection with unwanted pregnancies and illegal abortions and unwanted children.”
    —Gro Harlem Brundtland (b. 1939)