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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=-9/4, b>=a > For fixed z and a=-9/4, b=-3/4





http://functions.wolfram.com/07.23.03.ae4m.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(3/4), 2, -z] == (1/(4095 Pi z)) (8 (1 + z)^(1/4) (-2 (45 - 1436 z + 609 z^2 + 42 z^3) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (42 z^3 + 45 (1 + Sqrt[1 + z]) + 21 z^2 (29 + Sqrt[1 + z]) - 2 z (718 + 223 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