Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 31/Hypergeometric Differential Equation

Hypergeometric Differential Equation

$31.1$: Hypergeometric Differential Equation

A hypergeometric differential equation is a second order ODE of the form:

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