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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=17/8, b>=a > For fixed z and a=17/8, b=47/8





http://functions.wolfram.com/07.23.03.c6sl.01









  


  








Input Form





Hypergeometric2F1[17/8, 47/8, -(9/2), -z] == (1/(45997056 (1 + z)^(25/2))) (4 Sqrt[1 + z] (11499264 + 170252992 z + 1244887305 z^2 + 6271535879 z^3 + 27660139825 z^4 + 191592401085 z^5 - 383441372127 z^6 + 51628237305 z^7 + 4812652863 z^8 + 471728355 z^9 + 26273478 z^10) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (11499264 + 173846512 z + 1296564119 z^2 + 6638841394 z^3 + 29467235473 z^4 + 4944672267012 z^5 - 4478849149887 z^6 + 215908959138 z^7 + 20180931423 z^8 + 1939460376 z^9 + 105093912 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