Difference between revisions of "Pochhammer symbol with non-negative integer subscript"
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==References== | ==References== | ||
| + | * {{BookReference|Higher Transcendental Functions Volume I|1953|Harry Bateman|prev=Pochhammer|next=findme}}: $4.1 (2)$ | ||
[[Category:Theorem]] | [[Category:Theorem]] | ||
[[Category:Unproven]] | [[Category:Unproven]] | ||
Revision as of 19:14, 17 June 2017
Theorem
The following formula holds: $$(a)_n = \left\{ \begin{array}{ll} 1, & \quad n=0 \\ a(a+1)\ldots(a+n-1), & \quad n=1,2,3,\ldots, \end{array} \right.$$ where $(a)_n$ denotes the Pochhammer symbol.
Proof
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume I ... (previous) ... (next): $4.1 (2)$
