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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=1/8





http://functions.wolfram.com/07.23.03.bcp8.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 1/8, 7/2, -z] == -((1/(4792073 z^(5/2) (1 + z)^(5/8))) (64 (Sqrt[z] (-540 - 5895 z - 122540 z^2 + 56430 z^3 + 21120 z^4 + 8385 z^5 + 2160 z^6 + 256 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - (-432 - 4635 z - 37260 z^2 + 145750 z^3 + 28380 z^4 + 10989 z^5 + 2760 z^6 + 320 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