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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=9/4





http://functions.wolfram.com/07.23.03.ag20.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 9/4, 4, z] == (1/(9945 Pi Sqrt[1 + Sqrt[z]] z^3)) (256 ((-(-32 - 32 Sqrt[z] + 45 z + 45 z^(3/2) + 27 z^2 + 27 z^(5/2) - 144 z^3 - 144 z^(7/2) + 72 z^4 + 72 z^(9/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-32 + 53 z + 18 z^2 - 75 z^3 + 36 z^4) 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