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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=-7/4, b>=a > For fixed z and a=-7/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 21/4, 2, -z] == (8 Sqrt[2] ((4095 + 326177 z + 1537408 z^2 + 2201600 z^3 + 983040 z^4) (1 + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (983040 z^4 + 4095 (1 + Sqrt[1 + z]) + 10240 z^3 (215 + 24 Sqrt[1 + z]) + 128 z^2 (12011 + 2920 Sqrt[1 + z]) + z (326177 + 133712 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (765765 Pi z (1 + z)^(3/2) Sqrt[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