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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=-35/8, b>=a > For fixed z and a=-35/8, b=17/8





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









  


  








Input Form





Hypergeometric2F1[-(35/8), 17/8, 11/2, -z] == -((1024 (Sqrt[z] (-33600 - 203400 z - 444285 z^2 - 263340 z^3 + 123530 z^4 + 966060 z^5 + 1319115 z^6 + 890400 z^7 + 311040 z^8 + 45056 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - (-26880 - 157680 z - 325737 z^2 - 148680 z^3 + 395010 z^4 + 1524380 z^5 + 1859775 z^6 + 1186164 z^7 + 399360 z^8 + 56320 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (340237183 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