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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=-11/4, b>=a > For fixed z and a=-11/4, b=19/4





http://functions.wolfram.com/07.23.03.adn3.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 19/4, 5, -z] == (1/(68139225 Pi z^4)) (4096 (1 + z)^(1/4) (2 (-128 + 240 z - 597 z^2 + 2499 z^3 + 22104 z^4 + 30960 z^5 + 12480 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 8 Sqrt[1 + z] (16 - 42 z + 108 z^2 - 399 z^3 + 1710 z^4 + 5400 z^5 + 3120 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-128 + 240 z - 597 z^2 + 2499 z^3 + 22104 z^4 + 30960 z^5 + 12480 z^6) 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