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Pfaff Transformation

When |x|<1/2,

(1-x)^(-a)_2F_1(a,b;c;-x/(1-x))=_2F_1(a,c-b;c;x).

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References

Koepf, W. Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, pp. 39-40, 1998.

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Pfaff Transformation

Cite this as:

Weisstein, Eric W. "Pfaff Transformation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PfaffTransformation.html

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