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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 3 and fixed z > For fixed z and a=-17/3, b>=a > For fixed z and a=-17/3, b=-13/3





http://functions.wolfram.com/07.23.03.4582.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(13/3), 9/2, -z] == -((243 (Sqrt[z] (14155776 + 411566080 z + 7704412160 z^2 - 1694905300517 z^3 + 6284871701009 z^4 - 1558060199882 z^5 - 6203144100304 z^6 + 3069821752816 z^7 - 271849311040 z^8 + 329039104 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-42467328 - 1222115328 z - 22756720640 z^2 - 633609912320 z^3 + 10025450044599 z^4 - 27917132667754 z^5 + 23493190678448 z^6 - 6145628542800 z^7 + 374509511488 z^8 + 329039104 z^9) Sinh[ArcSinh[Sqrt[z]]/3]))/ (463717784757535 z^(7/2) Sqrt[1 + z]))










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