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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=-10/3





http://functions.wolfram.com/07.23.03.4602.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(10/3), 5/2, -z] == (27 (Sqrt[z] (-1835008 + 1376967115 z - 7572550797 z^2 + 2494045072 z^3 + 8433247688 z^4 - 2991745440 z^5 + 21087872 z^6 + 683008 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (5505024 + 381681664 z - 9495791769 z^2 + 32683907568 z^3 - 27097337560 z^4 + 4794630432 z^5 + 20746368 z^6 + 683008 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/ (40627927145 z^(3/2) 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