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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=21/8





http://functions.wolfram.com/07.23.03.bbv5.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 21/8, -(7/2), z] == (1/(1280 (1 - z)^(3/2))) (Sqrt[1 - z] (1280 + 2800 z + 6237 z^2 + 17472 z^3 + 106080 z^4 - 626688 z^5 + 489600 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (240 + 490 z + 1071 z^2 + 3042 z^3 + 89556 z^4 - 217872 z^5 + 122400 z^6) Sin[(3 ArcSin[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