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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=14/3





http://functions.wolfram.com/07.23.03.4871.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 14/3, -(9/2), z] == -((1/(6561 (-1 + z)^3)) ((1/Sqrt[1 - z]) ((6561 + 15228 z + 38430 z^2 + 116732 z^3 + 503217 z^4 + 5422560 z^5 - 40148368 z^6 + 78613184 z^7 - 62283520 z^8 + 17704960 z^9) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (2187 + 6615 z + 17633 z^2 + 51909 z^3 + 205920 z^4 - 18665296 z^5 + 54110784 z^6 - 53431040 z^7 + 17704960 z^8) Sin[ArcSin[Sqrt[z]]/3]))










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