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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Functional identities > Quadratic transformations with fixed a,c,z





http://functions.wolfram.com/07.23.17.0112.01









  


  








Input Form





Hypergeometric2F1[a, 1 - a, c, z] == (1 - z)^(c - 1) (1 - 2 z)^(a - c) Hypergeometric2F1[(c - a)/2, (c - a + 1)/2, c, (4 z (z - 1))/(1 - 2 z)^2] /; Re[z] < 1/2








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29