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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=11/8, b>=a > For fixed z and a=11/8, b=29/8





http://functions.wolfram.com/07.23.03.c3i9.01









  


  








Input Form





Hypergeometric2F1[11/8, 29/8, -(5/2), -z] == (1/(12480 (1 + z)^(15/2))) ((-Sqrt[1 + z]) (-12480 - 115752 z - 557921 z^2 - 2889887 z^3 + 3001017 z^4 + 178963 z^5 + 14260 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-9360 - 88179 z - 430248 z^2 - 4463282 z^3 + 3088716 z^4 + 186093 z^5 + 14260 z^6) 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