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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=11/3





http://functions.wolfram.com/07.23.03.4825.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 11/3, -(9/2), -z] == (1/(32805 (1 + z)^(5/2))) ((-(-32805 + 67635 z - 149625 z^2 + 391041 z^3 - 1413438 z^4 + 12305280 z^5 + 67650336 z^6 + 87987328 z^7 + 34777600 z^8)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (10935 - 30240 z + 71995 z^2 - 183742 z^3 + 607360 z^4 + 36698272 z^5 + 70598528 z^6 + 34777600 z^7) Sinh[ArcSinh[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