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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=-43/8, b>=a > For fixed z and a=-43/8, b=1/8





http://functions.wolfram.com/07.23.03.b7pl.01









  


  










Input Form





Hypergeometric2F1[-(43/8), 1/8, 11/2, -z] == -((1024 (4 Sqrt[z] (-3440 - 42570 z - 255678 z^2 - 1064895 z^3 - 11590625 z^4 + 4478520 z^5 + 1372680 z^6 + 511089 z^7 + 146535 z^8 + 26816 z^9 + 2304 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] + (11008 + 134160 z + 792963 z^2 + 3258282 z^3 + 15475485 z^4 - 49348180 z^5 - 7346835 z^6 - 2693526 z^7 - 757869 z^8 - 136240 z^9 - 11520 z^10) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (26878737457 z^(9/2) (1 + z)^(5/8)))










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