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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=-11/3, b>=a > For fixed z and a=-11/3, b=17/3





http://functions.wolfram.com/07.23.03.5973.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 17/3, 11/2, -z] == (1/(11938641260 z^(9/2))) (6561 (Sqrt[z/(1 + z)] (-405 + 960 z - 2982 z^2 + 13476 z^3 + 1665495 z^4 + 6449352 z^5 + 9559888 z^6 + 6339008 z^7 + 1580800 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + (1215 - 3240 z + 10066 z^2 - 43932 z^3 + 477087 z^4 + 3552536 z^5 + 6983184 z^6 + 5548608 z^7 + 1580800 z^8) 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