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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=-9/8





http://functions.wolfram.com/07.23.03.b9y2.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(9/8), 7/2, -z] == (1/(5489502249 z^(5/2) Sqrt[1 + z])) (64 (4 Sqrt[z] Sqrt[1 + z] (2139 + 37789 z + 22075529 z^2 - 36742832 z^3 + 2854905 z^4 + 415657 z^5 + 58667 z^6 + 4466 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (34224 + 628153 z + 10527445 z^2 - 32642230 z^3 - 31905022 z^4 + 12222717 z^5 + 1777729 z^6 + 243600 z^7 + 17864 z^8) 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