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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Identities > Functional identities > Quadratic transformations with fixed a,b,z





http://functions.wolfram.com/07.24.17.0091.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, a - b + 1, z] == (((2^(2 a - 2 b) Gamma[a - b + 1/2])/Sqrt[Pi]) Hypergeometric2F1Regularized[ a, a - b + 1/2, 2 a - 2 b + 1, -((4 Sqrt[z])/(1 - Sqrt[z])^2)])/ (1 - Sqrt[z])^(2 a) /; 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