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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.c3i8.01









  


  








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) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-9360 + 88179 z - 430248 z^2 + 4463282 z^3 + 3088716 z^4 - 186093 z^5 + 14260 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