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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=-31/8, b>=a > For fixed z and a=-31/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 47/8, -(9/2), -z] == (1/(838656 (1 + z)^(13/2))) (2 Sqrt[1 + z] (419328 + 407680 z - 440310 z^2 + 697463 z^3 - 1753609 z^4 + 12652497 z^5 + 95967575 z^6 + 198499840 z^7 + 191139696 z^8 + 90047232 z^9 + 16853760 z^10) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (209664 + 269360 z - 184301 z^2 + 269087 z^3 - 733733 z^4 + 89426821 z^5 + 352589270 z^6 + 567734288 z^7 + 468113184 z^8 + 196948224 z^9 + 33707520 z^10) 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