Pfaff transformation {}_2F_1(a,b;c;z)=(1-z)^{-a}{}_2F_1\left(a,c-b;c;\frac{z}{z-1}\right)
E1619451
UNEXPLORED
The Pfaff transformation is a classical identity for the Gauss hypergeometric function that relates its values at z to those at z/(z−1), providing an analytic continuation and symmetry property of the function.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Pfaff transformation {}_2F_1(a,b;c;z)=(1-z)^{-a}{}_2F_1\left(a,c-b;c;\frac{z}{z-1}\right) canonical | 1 |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Gauss hypergeometric function
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hasTransformationFormula
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Pfaff transformation {}_2F_1(a,b;c;z)=(1-z)^{-a}{}_2F_1\left(a,c-b;c;\frac{z}{z-1}\right)
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