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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=-21/8, b>=a > For fixed z and a=-21/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 37/8, -(1/2), -z] == (1/(116 (1 + z)^(5/2))) (-4 Sqrt[1 + z] (-29 + 638 z + 10246 z^2 + 32164 z^3 + 36176 z^4 + 13600 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-87 + 13881 z + 90624 z^2 + 194208 z^3 + 171904 z^4 + 54400 z^5) 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