hypergeometric equation

noun

, Mathematics.

1. a differential equation of the form, ( x 2 − x ) d 2 y / d 2 x + [( a+b +1) x−c ] dy/dx + abx =0, where a, b, and c are arbitrary constants.

Example Sentences

Some of these equations are: Bessel's equation, Legendre's equation, the hypergeometric equation, Mathieu's equation, Lam�'s equation.

From Project Gutenberg

We may then attempt to investigate, in general, in what cases the independent variable x of a hypergeometric equation is a single-valued function of the ratio s of two independent integrals of the equation.

From Project Gutenberg