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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=37/8





http://functions.wolfram.com/07.23.03.bp9i.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 37/8, -(9/2), -z] == (1/(89088 (1 + z)^(57/8))) ((89088 + 460288 z + 828820 z^2 + 430157 z^3 - 229593 z^4 + 614887 z^5 + 1891097 z^6 + 1812320 z^7 + 791808 z^8 + 135168 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (22272 + 108112 z + 175247 z^2 + 60697 z^3 - 65975 z^4 - 362557 z^5 - 397292 z^6 - 187392 z^7 - 33792 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