Formula:10124

Digital Library of Mathematical Functions ID 32.10.E31

${\displaystyle{\displaystyle\phi(\zeta)=C_{1}F\left(b,-a;b+c;\zeta\right)+C_{2}\zeta^{-b+1-c}\*F\left(-a-b-c+1,-c+1;2-b-c;\zeta\right),}}$

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
• ${\displaystyle{\displaystyle a}}$: a
• ${\displaystyle{\displaystyle b}}$: b
• ${\displaystyle{\displaystyle c}}$: c
• ${\displaystyle{\displaystyle\phi(z)}}$: function
• ${\displaystyle{\displaystyle C}}$: constant
 

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