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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=-41/8





http://functions.wolfram.com/07.23.03.b4n9.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(41/8), 7/2, -z] == (64 (Sqrt[z] Sqrt[1 + z] (82437060 + 3496705295 z + 11199393580473 z^2 - 98655561276165 z^3 + 226543760643205 z^4 - 172414741377907 z^5 + 42784565911371 z^6 - 2666964711639 z^7 + 10667202675 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (329748240 + 14213523095 z + 693323153620 z^2 - 13277568039288 z^3 + 36375048262900 z^4 - 3627530534818 z^5 - 35852641118884 z^6 + 16571031954576 z^7 - 1525245939636 z^8 + 10667202675 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))/ (705821440930767 z^(5/2) 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