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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=-7/4, b>=a > For fixed z and a=-7/4, b=5/4





http://functions.wolfram.com/07.23.03.af01.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 5/4, 1, -z] == (1/(21 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] ((31 + 32 z) (1 + z + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (10 + 31 Sqrt[1 + z] + 8 z (1 + 4 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