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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=-9/4, b>=a > For fixed z and a=-9/4, b=19/4





http://functions.wolfram.com/07.23.03.aem2.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 19/4, 3, -z] == (1/(765765 Pi z^2 Sqrt[1 + Sqrt[1 + z]])) (64 Sqrt[2] ((-84 + 987 z + 37504 z^2 + 100352 z^3 + 65536 z^4) (1 + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (65536 z^4 - 84 (1 + Sqrt[1 + z]) + 2048 z^3 (49 + 8 Sqrt[1 + z]) + 21 z (47 + 48 Sqrt[1 + z]) + 128 z^2 (293 + 104 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