Difference between revisions of "Pochhammer symbol with non-negative integer subscript"
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(Created page with "==Theorem== The following formula holds: $$(a)_n = \left\{ \begin{array}{ll} 1, & \quad n=0 \\ a(a+1)\ldots(a+n-1), & \quad n=1,2,3,\ldots. \end{array} \right.$$ ==Proof== =...") |
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Revision as of 19:10, 17 June 2017
Theorem
The following formula holds: $$(a)_n = \left\{ \begin{array}{ll} 1, & \quad n=0 \\ a(a+1)\ldots(a+n-1), & \quad n=1,2,3,\ldots. \end{array} \right.$$
