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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=-37/8, b>=a > For fixed z and a=-37/8, b=-1/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(1/8), -(1/2), -z] == (1/(1020 (1 + z)^(3/8))) ((1020 + 1275 z + 8406 z^2 + 12055 z^3 + 7568 z^4 + 1792 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-765 + 5258 z + 8287 z^2 + 5480 z^3 + 1344 z^4) 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