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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.aesw.01









  


  








Input Form





Hypergeometric2F1[-(7/4), -(5/4), 4, z] == (1/(14549535 Pi z^3)) (256 Sqrt[1 + Sqrt[z]] ((224 - 2219 z + 13377 z^2 + 140799 z^3 + 44427 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-224 + 224 Sqrt[z] + 2051 z - 2051 z^(3/2) - 11865 z^2 + 11865 z^(5/2) - 35799 z^3 + 35799 z^(7/2) - 3315 z^4 + 3315 z^(9/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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