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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=-3/8





http://functions.wolfram.com/07.23.03.ba07.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(3/8), 9/2, -z] == -((256 (Sqrt[z] (-3120 - 39819 z - 277745 z^2 - 23454902 z^3 + 12468630 z^4 + 2485425 z^5 + 606859 z^6 + 105360 z^7 + 8960 z^8) Cos[ArcTan[Sqrt[z]]/4] - 2 (-6240 - 81588 z - 579865 z^2 - 4612920 z^3 + 12974314 z^4 + 289200 z^5 + 71943 z^6 + 12820 z^7 + 1120 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(5435418483 z^(7/2) (1 + z)^(1/8)))








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