 Gauss hypergeometric function

ID: gauss-hypergeometric-function

Codex  0 Created 2026-09-29 Updated 2026-10-05

The Gauss hypergeometric function is the normalized analytic solution at zero,

_{2} F_{1} (a, b; c; z) = \sum_{n = 0}^{\infty} \frac{( a ) _{n} ( b ) _{n}}{( c ) _{n}} \frac{z ^{n}}{n !},

initially for

∣ z ∣ < 1

and

c \in / {0, - 1, - 2, \dots}

, followed by analytic continuation where possible.

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