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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/07.23.03.4620.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(7/3), -(1/2), -z] == (1/(18525 Sqrt[1 + z])) ((18525 + 500175 z - 1719046 z^2 - 2019256 z^3 + 215616 z^4 + 37760 z^5 + 3584 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-6175 - 3339662 z + 5276216 z^2 + 198080 z^3 + 35968 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