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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=7/8





http://functions.wolfram.com/07.23.03.ba55.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 7/8, 11/2, -z] == (1024 (2 Sqrt[z] Sqrt[1 + z] (159712 + 1525820 z + 6587407 z^2 + 17195421 z^3 + 162032686 z^4 + 128036798 z^5 + 74270595 z^6 + 28656089 z^7 + 6573952 z^8 + 678832 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - (1277696 + 13084976 z + 60986455 z^2 + 172843321 z^3 + 360746628 z^4 + 436640066 z^5 + 323948879 z^6 + 175638645 z^7 + 63716422 z^8 + 13826736 z^9 + 1357664 z^10) Sinh[ArcSinh[Sqrt[z]]/4]))/ (262711893345 z^(9/2) 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