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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=-15/8, b>=a > For fixed z and a=-15/8, b=43/8





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









  


  










Input Form





Hypergeometric2F1[-(15/8), 43/8, 4, z] == (2048 2^(1/4) (-2 Sqrt[1 - z] (1408 + 8921 z + 58344 z^2 - 901680 z^3 + 1060800 z^4) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - Sqrt[2 - 2 Sqrt[1 - z]] Sqrt[1 - z] (1408 + 8921 z + 58344 z^2 - 901680 z^3 + 1060800 z^4) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + Sqrt[1 - z] (1408 + 8921 z + 58344 z^2 - 901680 z^3 + 1060800 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (1408 + 8041 z + 52624 z^2 + 848640 z^3 - 2970240 z^4 + 2121600 z^5) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (1830673845 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] z^3)










Standard Form





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MathML Form







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</semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02