hypergeometric equation

American  

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.

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Example Sentences

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 Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" by Various

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

From The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde by Various