View source for 2F1(1,1;2;z)=-log(1-z)/z

==Theorem==
The following formula holds:
$${}_2F_1 \left( 1,1 ; 2 ; z \right) = -\dfrac{\log(1-z)}{z},$$
where ${}_2F_1$ denotes the [[hypergeometric 2F1]] and $\log$ denotes the [[logarithm]].

==Proof==

==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Limit of (1/Gamma(c))*2F1(a,b;c;z) as c approaches -m|next=2F1(1/2,1;3/2;z^2)}}: 15.1.3

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