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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=19/4





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









  


  










Input Form





Hypergeometric2F1[-(5/4), 19/4, 4, z] == -((1/(765765 Pi z^3)) (256 (2 (32 + 121 z + 540 z^2 - 8192 z^3 + 8192 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-32 (1 + Sqrt[1 - z]) - (121 + 129 Sqrt[1 - z]) z - 36 (15 + 16 Sqrt[1 - z]) z^2 + 2048 (4 + Sqrt[1 - z]) z^3 - 8192 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