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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=-17/4, b>=a > For fixed z and a=-17/4, b=-7/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), -(7/4), 2, -z] == (1/(765765 Pi z)) (8 (1 + z)^(1/4) (2 (-3315 + 320912 z - 811010 z^2 + 188188 z^3 + 13629 z^4 + 924 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-3315 + 131957 z - 186479 z^2 + 6391 z^3 + 462 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-3315 + 320912 z - 811010 z^2 + 188188 z^3 + 13629 z^4 + 924 z^5) 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