Bracket (mathematics) - Falling and Rising Factorial

Falling and Rising Factorial

The notation (x)n is used to denote the falling factorial, an n-th degree polynomial defined by

Confusingly, the same notation may be encountered as representing the rising factorial, also called "Pochhammer symbol". Another notation for the same is x(n). It can be defined by

Read more about this topic:  Bracket (mathematics)

Famous quotes containing the words falling and/or rising:

    Here falling houses thunder on your head,
    And here a female atheist talks you dead.
    Samuel Johnson (1709–1784)

    ... such is the horrible idea that I entertain respecting a life of servitude, that if I conceived of there being no possibility of my rising above the condition of servant, I would gladly hail death as a welcome messenger.
    Maria Stewart (1803–1879)