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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/07.23.03.4579.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(13/3), 7/2, z] == -((81 (Sqrt[z] (4718592 - 177209344 z - 70113234485 z^2 - 357492500733 z^3 - 199795689118 z^4 + 367106376448 z^5 + 235919439120 z^6 + 24513095360 z^7 + 35004160 z^8) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (-14155776 + 527433728 z - 22045786112 z^2 - 462105587559 z^3 - 1604500766014 z^4 - 1617426924992 z^5 - 492793807920 z^6 - 34244251840 z^7 + 35004160 z^8) Sin[ArcSin[Sqrt[z]]/3]))/(6278577356485 Sqrt[1 - z] z^(5/2)))










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