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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=-9/8, b>=a > For fixed z and a=-9/8, b=35/8





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









  


  










Input Form





Hypergeometric2F1[-(9/8), 35/8, -(7/2), -z] == (1/(768 (1 + z)^(47/8))) ((768 + 2256 z + 627 z^2 - 3762 z^3 - 1881 z^4 + 3212 z^5 + 3584 z^6 + 1024 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1344 + 4872 z + 4389 z^2 - 3762 z^3 - 10703 z^4 - 7504 z^5 - 1792 z^6) Sin[(7 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