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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=-17/4, b>=a > For fixed z and a=-17/4, b=11/4





http://functions.wolfram.com/07.23.03.aap9.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 11/4, 1, z] == (1/(69615 Pi)) (2 (2 (133873 - 1182093 z + 2964864 z^2 - 2897920 z^3 + 983040 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-133873 - 64258 Sqrt[1 - z] + (1182093 + 365456 Sqrt[1 - z]) z - 128 (23163 + 4280 Sqrt[1 - z]) z^2 + 10240 (283 + 24 Sqrt[1 - z]) z^3 - 983040 z^4) EllipticK[(1/2) (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