View source for Sum of reciprocal Pochhammer symbols of a fixed exponent

← Sum of reciprocal Pochhammer symbols of a fixed exponent

Jump to: navigation, search

You do not have permission to edit this page, for the following reason:

The action you have requested is limited to users in the group: Users.

You can view and copy the source of this page.

==Theorem==
The following formula holds:
$$\displaystyle\sum_{k=1}^n \dfrac{1}{(k)_p} = \dfrac{1}{(p-1)\Gamma(p)} - \dfrac{n\Gamma(n)}{(p-1)\Gamma(n+p)},$$
where $(k)_p$ denotes the [[Pochhammer]] symbol and $\Gamma$ denotes the [[gamma]] function.
==Proof==

==References==

[[Category:Theorem]]
[[Category:Unproven]]

Return to Sum of reciprocal Pochhammer symbols of a fixed exponent.

Retrieved from "http://specialfunctionswiki.org/index.php/Sum_of_reciprocal_Pochhammer_symbols_of_a_fixed_exponent"