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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 8 and fixed z and a>0 > For fixed z and a=19/8, b>=a > For fixed z and a=19/8, b=23/8





http://functions.wolfram.com/07.23.03.c76d.01









  


  










Input Form





Hypergeometric2F1[19/8, 23/8, 5, z] == (65536 2^(1/4) (64 Sqrt[2] Sqrt[1 + Sqrt[1 - z] - z] (-32 + 17 z) EllipticE[1/2 - Sqrt[1 - z]/(Sqrt[2] Sqrt[1 + Sqrt[1 - z] - z])] + (1024 (1 + Sqrt[1 - z] + Sqrt[2] Sqrt[1 + Sqrt[1 - z] - z]) - 32 (29 + 17 Sqrt[1 - z] + 17 Sqrt[2] Sqrt[1 + Sqrt[1 - z] - z]) z + 99 z^2) EllipticK[1/2 - Sqrt[1 - z]/(Sqrt[2] Sqrt[1 + Sqrt[1 - z] - z])]))/(225225 Pi (1 + Sqrt[1 - z])^(1/4) (1 - z)^(1/4) z^4)










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