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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=-45/8, b>=a > For fixed z and a=-45/8, b=-9/8





http://functions.wolfram.com/07.23.03.b6gk.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(9/8), 1/2, -z] == (1/(38335 (1 + z)^(3/8))) ((38335 - 646356 z + 407610 z^2 + 146748 z^3 + 57663 z^4 + 14928 z^5 + 1792 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] - 8 Sqrt[z] (-31056 + 101741 z + 13041 z^2 + 5211 z^3 + 1375 z^4 + 168 z^5) Sin[(3 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