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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=23/8





http://functions.wolfram.com/07.23.03.bbx3.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 23/8, 3/2, -z] == (1/(156825 Sqrt[z] (1 + z)^(3/8))) (4 (4 Sqrt[z] (12417 + 151339 z + 544228 z^2 + 842976 z^3 + 597504 z^4 + 159744 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] - (13949 + 311474 z + 1348221 z^2 + 2293728 z^3 + 1722624 z^4 + 479232 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