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    Pochhammer Symbol

    Usage

    Pochhammer[a, n] gives the Pochhammer symbol (a)n.

    Basic examples

    Evaluate numerically: In[1]:=Pochhammer[10, 6] Out[1]=3603600 Evaluate symbolically with respect to n: In[1]:=Pochhammer[n, 5] Out[1]=n (1 + n) (2 + n) (3 + n) (4 + n) In[2]:=Pochhammer[n, -5] Out[2]=1/((-5 + n) (-4 + n) (-3 + n) (-2 + n) (-1 + n)) Plot over a subset of the reals: In[1]:=Plot[Pochhammer[x, 1/2], {x, -.5, 4}] Out[1]=

    Attributes

    Listable | NumericFunction | Protected | ReadProtected

    Relationships with other entities

    Leo August Pochhammer

    Beta | Binomial | Gamma | Factorial | FactorialPower | Hypergeometric0F1 | Hypergeometric1F1 | Hypergeometric2F1 | QPochhammer | DiscreteRatio | AppellF1 | AppellF2 | AppellF3 | AppellF4

    Relationships with other entities

    Typical ranks of usage in programs

    274th most common (1 in 8870 symbols)

    1135th most common (1 in 22100 symbols)

    History

    introduced in Version 1 (June 1988) last modified in Version 13.1 (June 2022)

    Timeline

    Timeline

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