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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.bcx3.01









  


  










Input Form





Hypergeometric2F1[-(35/8), 17/8, 7/2, -z] == -((1/(435643 z^(5/2) (1 + z)^(5/8))) (64 (Sqrt[z] (-1140 - 1995 z + 335 z^2 + 21215 z^3 + 47065 z^4 + 45920 z^5 + 21760 z^6 + 4096 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - (-912 - 1425 z + 5985 z^2 + 37985 z^3 + 69755 z^4 + 62524 z^5 + 28160 z^6 + 5120 z^7) Sin[(5 ArcTan[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