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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=-1/8





http://functions.wolfram.com/07.23.03.ba1e.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(1/8), 9/2, -z] == -((256 (Sqrt[z] Sqrt[1 + z] (-57040 - 683767 z - 4365699 z^2 - 645949146 z^3 + 120530090 z^4 + 35872565 z^5 + 10223689 z^6 + 1956108 z^7 + 178640 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + (228160 + 2891928 z + 19324439 z^2 + 132662919 z^3 + 10136994 z^4 - 137303690 z^5 - 40751061 z^6 - 11179413 z^7 - 2045428 z^8 - 178640 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))/(157627136007 z^(7/2) 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