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

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]=

Listable | NumericFunction | Protected | ReadProtected

Leo August Pochhammer

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

274th most common (1 in 8870 symbols)

1135th most common (1 in 22100 symbols)

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