Formula:5787

Digital Library of Mathematical Functions ID 15.8.E33

${\displaystyle{\displaystyle F\left({\frac{1}{3},\frac{2}{3}\atop 1};1-\left(\frac{1-z}{1+2z}\right)^{3}\right)=(1+2z)F\left({\frac{1}{3},\frac{2}{3}\atop 1};z^{3}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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