hypergeometric differential equation


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hypergeometric differential equation

[‚hī·pər‚jē·ə′me·trik ‚dif·ə¦ren·chəl i′kwā·zhən]
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4] has conjectured that any globally nilpotent second order differential equation has either algebraic solutions or is gauge equivalent to a weak pullback of a Gauss hypergeometric differential equation with rational parameters.
The discretization of the hypergeometric differential equation on the lattice x(s) [26, 27] leads to the second order difference equation of the hypergeometric type
He showed, in particular, that the matrix valued hypergeometric function satisfies the matrix valued hypergeometric differential equation, and conversely that any solution of the latter is a matrix valued hypergeometric function.