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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/07.23.17.0117.01









  


  








Input Form





Hypergeometric2F1[a, a + 1/2, c, z] == Hypergeometric2F1[2 a, c - 1/2, 2 c - 1, -((2 Sqrt[z])/(1 - Sqrt[z]))]/ (1 - Sqrt[z])^(2 a) /; !IntervalMemberQ[Interval[{1, Infinity}], z]








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