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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=1/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 1/4, 2, -z] == (1/(208845 Pi z)) (8 (1 + z)^(1/4) (2 (-3315 + 63111 z + 45003 z^2 + 28357 z^3 + 10500 z^4 + 1680 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-3315 + 13386 z + 10101 z^2 + 4480 z^3 + 840 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-3315 + 63111 z + 45003 z^2 + 28357 z^3 + 10500 z^4 + 1680 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