Definition:Riemann P-symbol

Definition
The Riemann P-symbol, written:


 * $\map f z = \operatorname P \set {\begin {matrix} a & b & c \\ \alpha & \beta & \gamma & z \\ \alpha' & \beta' & \gamma' \end {matrix} }$

denotes the solutions to the hypergeometric differential equation:

where:


 * $\alpha + \alpha' + \beta + \beta' + \gamma + \gamma' = 1$

Also known as
The Riemann P-symbol is also known as the Papperitz symbol, for.