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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=-16/3





http://functions.wolfram.com/07.23.03.4548.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(16/3), -(1/2), -z] == (1/(6555 Sqrt[1 + z])) ((6555 + 399855 z - 6343068 z^2 + 8512272 z^3 + 7915008 z^4 - 6746880 z^5 + 586752 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (2185 + 4481396 z - 30237968 z^2 + 41655040 z^3 - 13729024 z^4 + 775168 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