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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-5/4, b>=a > For fixed z and a=-5/4, b=-5/4





http://functions.wolfram.com/07.23.03.afrj.01









  


  








Input Form





Hypergeometric2F1[-(5/4), -(5/4), 3, -z] == -((1/(68445 Pi z^2 Sqrt[1 + Sqrt[1 + z]])) (64 Sqrt[2] (2 (10 + 105 z - 2172 z^2 + 757 z^3) (1 + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (20 (1 + Sqrt[1 + z]) + 5 z (42 + 41 Sqrt[1 + z]) + z^3 (1514 + 585 Sqrt[1 + z]) - 2 z^2 (2172 + 1127 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + 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)





2007-05-02