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Kummer's Quadratic Transformation


A transformation of a hypergeometric function,

 _2F_1(alpha,beta;2beta;(4z)/((1+z)^2))=(1+z)^(2alpha)_2F_1(alpha,alpha+1/2-beta;beta+1/2;z^2).

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Cite this as:

Weisstein, Eric W. "Kummer's Quadratic Transformation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KummersQuadraticTransformation.html

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