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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=5/3





http://functions.wolfram.com/07.23.03.4729.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 5/3, -(11/2), -z] == (1/(216513 (1 + z)^(3/2))) ((216513 - 34992 z + 31077 z^2 - 35074 z^3 + 48200 z^4 - 87776 z^5 + 339456 z^6 + 505856 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-72171 + 62451 z - 59850 z^2 + 61304 z^3 - 67808 z^4 + 86528 z^5 + 505856 z^6) 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