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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=-15/8, b>=a > For fixed z and a=-15/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 39/8, 9/2, z] == (1/(57669579 z^(7/2))) (256 (Sqrt[z] (240 + 747 z + 2585 z^2 + 244376 z^3 - 558448 z^4 + 307648 z^5) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((-960 - 2328 z - 8207 z^2 - 69025 z^3 + 485144 z^4 - 712272 z^5 + 307648 z^6) Sin[ArcSin[Sqrt[z]]/4])))








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