Difference between revisions of "Pochhammer"
From specialfunctionswiki
m (Tom moved page Pochhammer symbol to Pochhammer) |
|||
Line 2: | Line 2: | ||
$$(a)_n=a(a+1)(a+2)\ldots(a+n-1)=\dfrac{\Gamma(a+n)}{\Gamma(a)},$$ | $$(a)_n=a(a+1)(a+2)\ldots(a+n-1)=\dfrac{\Gamma(a+n)}{\Gamma(a)},$$ | ||
where $\Gamma$ denotes the [[gamma function]]. | where $\Gamma$ denotes the [[gamma function]]. | ||
+ | |||
+ | =References= | ||
+ | [http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_256.htm Abramowitz and Stegun] |
Revision as of 07:36, 8 February 2015
$$(a)_0 = 1$$ $$(a)_n=a(a+1)(a+2)\ldots(a+n-1)=\dfrac{\Gamma(a+n)}{\Gamma(a)},$$ where $\Gamma$ denotes the gamma function.