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:

    Moderation is a fear of falling into that envy and contempt which those who grow giddy with their good fortune quite justly draw upon themselves. It is a vain boasting of the greatness of our mind.
    François, Duc De La Rochefoucauld (1613–1680)

    The supreme, the merciless, the destroyer of opposition, the exalted King, the shepherd, the protector of the quarters of the world, the King the word of whose mouth destroys mountains and seas, who by his lordly attack has forced mighty and merciless Kings from the rising of the sun to the setting of the same to acknowledge one supremacy.
    Ashurnasirpal II (r. 883–59 B.C.)