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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=17/8





http://functions.wolfram.com/07.23.03.b7x2.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 17/8, 9/2, -z] == -((256 (Sqrt[z] (-980400 - 4816215 z - 4852980 z^2 + 1418670 z^3 + 36367100 z^4 + 78616305 z^5 + 84428400 z^6 + 51208320 z^7 + 16828416 z^8 + 2342912 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - (-784320 - 3705912 z - 3183849 z^2 + 11323620 z^3 + 64752930 z^4 + 118489580 z^5 + 117655359 z^6 + 67968288 z^7 + 21584640 z^8 + 2928640 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (3062134647 z^(7/2) (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