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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.b7pd.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 1/8, 7/2, -z] == -((64 (2 Sqrt[z] (-1290 - 16125 z - 414610 z^2 + 209330 z^3 + 97350 z^4 + 51555 z^5 + 19950 z^6 + 4736 z^7 + 512 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (-2064 - 25413 z - 239295 z^2 + 1050070 z^3 + 267850 z^4 + 138303 z^5 + 52101 z^6 + 12080 z^7 + 1280 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (33544511 z^(5/2) (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