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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=-27/8, b>=a > For fixed z and a=-27/8, b=25/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), 25/8, 3/2, -z] == -((1/(84847 Sqrt[z] (1 + z)^(5/8))) (4 (Sqrt[z] (-11023 + 61765 z + 457184 z^2 + 700672 z^3 + 315392 z^4) Cos[(5 ArcTan[Sqrt[z]])/4] - (8151 + 191063 z + 737548 z^2 + 949760 z^3 + 394240 z^4) Sin[(5 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