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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=-15/4, b>=a > For fixed z and a=-15/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 21/4, 4, z] == (1/(3011753745 Pi z^3)) (256 (-2 Sqrt[1 - z] (12320 + 100485 z + 932085 z^2 - 37634944 z^3 + 130627584 z^4 - 152764416 z^5 + 58720256 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (12320 + 91245 z + 855855 z^2 - 14812144 z^3 + 41505792 z^4 - 42319872 z^5 + 14680064 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (12320 + 100485 z + 932085 z^2 - 37634944 z^3 + 130627584 z^4 - 152764416 z^5 + 58720256 z^6) 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