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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/07.23.03.5955.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 17/3, -(7/2), -z] == (1/6804) ((1/(1 + z)^(11/2)) ((6804 - 2592 z + 5372 z^2 - 19096 z^3 + 189420 z^4 + 1414699 z^5 + 3106792 z^6 + 3189264 z^7 + 1596608 z^8 + 316160 z^9) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/(1 + z)^5) (Sqrt[z] (-2268 + 2460 z - 3696 z^2 + 9240 z^3 + 644787 z^4 + 2012088 z^5 + 2509520 z^6 + 1438528 z^7 + 316160 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