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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=-7/8, b>=a > For fixed z and a=-7/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 35/8, 1, z] == (2 2^(1/4) ((2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (-25943 + 109875 z - 136188 z^2 + 53040 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (-13558 + 25943 Sqrt[1 - z] - 5 (-29096 + 21975 Sqrt[1 - z]) z + 54 (-6603 + 2522 Sqrt[1 - z]) z^2 - 3120 (-106 + 17 Sqrt[1 - z]) z^3 - 106080 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (39501 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] (-1 + z)^3)








Standard Form





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MathML Form







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





2007-05-02