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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=21/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 21/4, 1, -z] == -((1/(9945 Pi (1 + z)^(7/4))) (2 (-8 (6857 + 77266 z + 229292 z^2 + 255024 z^3 + 96096 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (27428 + 384384 z^4 + 17483 Sqrt[1 + z] + 14784 z^3 (69 + 13 Sqrt[1 + z]) + 56 z (5519 + 2843 Sqrt[1 + z]) + 112 z^2 (8189 + 2981 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