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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





http://functions.wolfram.com/07.23.03.bfm3.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, -(11/2), -z] == (1/(9146368 (1 + z)^(49/8))) ((9146368 + 25932032 z + 13933920 z^2 - 5782803 z^3 + 5952453 z^4 - 10913773 z^5 + 57492123 z^6 + 290592480 z^7 + 391150848 z^8 + 221990912 z^9 + 46858240 z^10) Cos[ArcTan[Sqrt[z]]/4] - 2 Sqrt[z] (-1143296 - 2884224 z - 934206 z^2 + 826761 z^3 - 987740 z^4 + 1724021 z^5 + 25302984 z^6 + 41274816 z^7 + 25918464 z^8 + 5857280 z^9) 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