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