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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=-3/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(3/8), 5/2, -z] == (1/(28176225 z^(3/2) Sqrt[1 + z])) (16 ((-Sqrt[z]) Sqrt[1 + z] (-41847 - 2719136 z + 5105478 z^2 + 1031676 z^3 + 351625 z^4 + 83340 z^5 + 9360 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (-55796 - 1325155 z + 3428656 z^2 + 5582206 z^3 + 1197656 z^4 + 392125 z^5 + 88020 z^6 + 9360 z^7) Sinh[(3 ArcSinh[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