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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/07.23.03.4616.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(7/3), -(5/2), -z] == (1/5265) ((1/Sqrt[1 + z]) ((5265 + 30771 z + 72618 z^2 + 76232 z^3 + 45888 z^4 + 20352 z^5 + 3584 z^6) Cosh[ArcSinh[Sqrt[z]]/3]) + Sqrt[z] (-1755 - 9022 z - 17992 z^2 + 37056 z^3 + 18560 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