Formula:5766

Digital Library of Mathematical Functions ID 15.8.E12

${\displaystyle{\displaystyle\mathbf{F}\left(a,b;a+b-m;z\right)=(1-z)^{-m}\mathbf{F}\left(\tilde{a},\tilde{b};\tilde{a}+\tilde{b}+m;z\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\tilde{a}=a-m,\tilde{b}=b-m}}$

Symbols List

• ${\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$: Olver’s hypergeometric function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: real or complex parameter
• ${\displaystyle{\displaystyle b}}$: real or complex parameter
• ${\displaystyle{\displaystyle m}}$: integer
 

Resources that cite this formula

No records found.