Pochhammer

Pochhammer[a, n] gives the Pochhammer symbol (a)_n = a(a+1)(a+2)...(a+n-1), also called the rising factorial.

Examples

Pochhammer symbol:

Pochhammer[3, 4]
(* 360 - equals 3*4*5*6 *)

Relation to Gamma:

Pochhammer[a, n] == Gamma[a + n]/Gamma[a]
(* True *)

Useful in series expansions:

Pochhammer[1/2, 3]
(* 15/8 *)

Please visit the official Wolfram Language Reference for more details.