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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/07.23.17.0109.01









  


  








Input Form





Hypergeometric2F1[a, b, 3/2, z] == (((Gamma[a - 1/2] Gamma[b - 1/2])/(4 Sqrt[Pi] Gamma[a + b - 1/2])) (Hypergeometric2F1[2 a - 1, 2 b - 1, a + b - 1/2, (1 + Sqrt[z])/2] - Hypergeometric2F1[2 a - 1, 2 b - 1, a + b - 1/2, (1 - Sqrt[z])/2]))/ 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