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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 8 and fixed z and a<0 > For fixed z and a=-15/8, b>=a > For fixed z and a=-15/8, b=47/8





http://functions.wolfram.com/07.23.03.bpi6.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 47/8, 9/2, -z] == (1/(68154957 z^(7/2))) (256 (Sqrt[z] (-80 + 421 z - 2080 z^2 + 286368 z^3 + 783104 z^4 + 503424 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) (8 (-40 + 183 z - 892 z^2 + 9335 z^3 + 76874 z^4 + 129352 z^5 + 62928 z^6) Sinh[ArcSinh[Sqrt[z]]/4])))








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