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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=-41/8





http://functions.wolfram.com/07.23.03.b659.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(41/8), -(9/2), -z] == (1/(7168 (1 + z)^(3/8))) ((7168 + 46592 z + 129300 z^2 + 199829 z^3 + 191135 z^4 + 141855 z^5 - 38335 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (5376 + 34160 z + 92173 z^2 + 137487 z^3 + 125895 z^4 + 150805 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