Definition:Hypergeometric Differential Equation/Also presented as

Hypergeometric Differential Equation: Also presented as

Some sources present the hypergeometric differential equation as:

$x \paren {x - 1} \dfrac {\d^2 y} {\d x^2} + \paren {\paren {a + b + 1} x - c} \dfrac {\d y} {\d x} + a b y = 0$

which reduces to the given form on multiplication of all terms by $-1$.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): hypergeometric differential equation