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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=25/8, b>=a > For fixed z and a=25/8, b=45/8





http://functions.wolfram.com/07.23.03.c9x0.01









  


  








Input Form





Hypergeometric2F1[25/8, 45/8, -(5/2), -z] == (1/(64 (1 + z)^(89/8))) ((64 + 1160 z + 12675 z^2 + 188331 z^3 - 1136850 z^4 + 906334 z^5 - 92625 z^6 - 3585 z^7 - 144 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16 + 285 z + 3081 z^2 - 639210 z^3 + 1262690 z^4 - 403559 z^5 + 885 z^6 + 36 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