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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=-14/3, b>=a > For fixed z and a=-14/3, b=-13/3





http://functions.wolfram.com/07.23.03.5116.01









  


  








Input Form





Hypergeometric2F1[-(14/3), -(13/3), 3/2, -z] == (1/33393355) (3 ((1/Sqrt[1 + z]) (3 (3506483 - 37848581 z + 43451408 z^2 + 45853544 z^3 - 35918432 z^4 + 3034496 z^5) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/Sqrt[z]) ((1835008 - 95256883 z + 533389552 z^2 - 684878312 z^3 + 217532960 z^4 - 12006272 z^5) 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