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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 8 and fixed z and a<0 > For fixed z and a=-21/8, b>=a > For fixed z and a=-21/8, b=-17/8





http://functions.wolfram.com/07.23.03.bl6b.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(17/8), 9/2, -z] == -((256 (Sqrt[z] (-48 - 659 z - 5193 z^2 - 250326 z^3 + 443750 z^4 - 123927 z^5 + 3219 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + 2 (32 + 444 z + 3525 z^2 + 35052 z^3 - 213714 z^4 + 147648 z^5 - 15019 z^6) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (50811915 z^(7/2) (1 + z)^(3/8)))








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