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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=-15/8, b>=a > For fixed z and a=-15/8, b=29/8





http://functions.wolfram.com/07.23.03.bp3s.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 29/8, -(11/2), -z] == (1/(135168 (1 + z)^(57/8))) ((135168 + 791808 z + 1812320 z^2 + 1891097 z^3 + 614887 z^4 - 229593 z^5 + 430157 z^6 + 828820 z^7 + 460288 z^8 + 89088 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (33792 + 187392 z + 397292 z^2 + 362557 z^3 + 65975 z^4 - 60697 z^5 - 175247 z^6 - 108112 z^7 - 22272 z^8) 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