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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=-47/8, b>=a > For fixed z and a=-47/8, b=39/8





http://functions.wolfram.com/07.23.03.b5ni.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, -(5/2), z] == (1/(320 (1 - z)^(3/2))) (Sqrt[1 - z] (320 + 3336 z + 31225 z^2 + 585580 z^3 - 8371728 z^4 + 26539776 z^5 - 31368960 z^6 + 12579840 z^7) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (80 + 809 z + 7535 z^2 + 2923132 z^3 - 18506736 z^4 + 40651776 z^5 - 37658880 z^6 + 12579840 z^7) 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