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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=-7/3





http://functions.wolfram.com/07.23.03.4618.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(7/3), -(3/2), -z] == (1/(6669 Sqrt[1 + z])) ((6669 + 62491 z + 397670 z^2 + 251800 z^3 - 115520 z^4 - 29056 z^5 - 3584 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (2223 + 19266 z + 1178264 z^2 + 102336 z^3 + 27264 z^4 + 3584 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