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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,b,z





http://functions.wolfram.com/07.23.17.0091.01









  


  










Input Form





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










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