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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=-39/8, b>=a > For fixed z and a=-39/8, b=-17/8





http://functions.wolfram.com/07.23.03.b9uu.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(17/8), 3/2, -z] == (1/943635) (4 ((-(-238939 + 1707856 z - 1583378 z^2 + 80988 z^3 + 7157 z^4 + 476 z^5)) Cosh[ArcSinh[Sqrt[z]]/4] + (1/(Sqrt[z] Sqrt[1 + z])) ((-12121 + 276623 z - 240366 z^2 - 451522 z^3 + 84507 z^4 + 7395 z^5 + 476 z^6) Sinh[ArcSinh[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