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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=13/4, b>=a > For fixed z and a=13/4, b=23/4





http://functions.wolfram.com/07.23.03.amj4.01









  


  








Input Form





Hypergeometric2F1[13/4, 23/4, 5, -z] == (1/(329175 Pi z^4 (1 + z)^(15/4))) (4096 (4 (64 + 216 z + 231 z^2 + 30 z^3 + 15 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-128 (1 + Sqrt[1 + z]) + 30 z^4 (-1 + 2 Sqrt[1 + z]) + 15 z^3 (-4 + 5 Sqrt[1 + z]) - 48 z (9 + 7 Sqrt[1 + z]) - 3 z^2 (154 + 75 Sqrt[1 + z])) EllipticK[1/2 - 1/(2 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