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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=-39/8, b>=a > For fixed z and a=-39/8, b=-19/8





http://functions.wolfram.com/07.23.03.b9tt.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(19/8), 7/2, -z] == -((1/(2717127 z^(5/2) (1 + z)^(1/8))) (64 (Sqrt[z] (-4 - 95 z - 44803 z^2 + 161370 z^3 - 107338 z^4 + 9509 z^5 + 385 z^6 + 16 z^7) Cos[ArcTan[Sqrt[z]]/4] + (16 + 385 z + 9509 z^2 - 107338 z^3 + 161370 z^4 - 44803 z^5 - 95 z^6 - 4 z^7) Sin[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