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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=-41/8, b>=a > For fixed z and a=-41/8, b=3/8





http://functions.wolfram.com/07.23.03.b8yj.01









  


  










Input Form





Hypergeometric2F1[-(41/8), 3/8, -(7/2), -z] == (1/(8960 (1 + z)^(7/8))) ((8960 - 10800 z + 8963 z^2 - 12989 z^3 + 39180 z^4 - 3584 z^5 - 64512 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + 7 Sqrt[z] (2240 - 1160 z + 1347 z^2 - 2249 z^3 + 11984 z^4 + 16128 z^5) Sin[(7 ArcTan[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