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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=17/3





http://functions.wolfram.com/07.23.03.4933.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 17/3, 5/2, -z] == (1/(1233025 z^(3/2))) (27 (Sqrt[z/(1 + z)] (34 + 43649 z + 546531 z^2 + 2447060 z^3 + 5291344 z^4 + 6003200 z^5 + 3449600 z^6 + 793600 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + (-102 + 6086 z + 179205 z^2 + 1191588 z^3 + 3335344 z^4 + 4576000 z^5 + 3052800 z^6 + 793600 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