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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=19/4





http://functions.wolfram.com/07.23.03.aaw6.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 19/4, 4, z] == (1/(3886257375 Pi z^3)) (256 (2 (-21216 - 135915 z - 1165554 z^2 + 49179125 z^3 - 199548800 z^4 + 315439104 z^5 - 222494720 z^6 + 58720256 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (21216 + 141219 z + 1203345 z^2 - 18498800 z^3 + 47539200 z^4 - 45072384 z^5 + 14680064 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-21216 - 135915 z - 1165554 z^2 + 49179125 z^3 - 199548800 z^4 + 315439104 z^5 - 222494720 z^6 + 58720256 z^7) EllipticK[(1/2) (1 - 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