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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/07.23.17.0104.01









  


  










Input Form





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





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