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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=7/8





http://functions.wolfram.com/07.23.03.boq0.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 7/8, -(11/2), -z] == (1/(135168 (1 + z)^(9/2))) (Sqrt[1 + z] (135168 + 504576 z + 671328 z^2 + 344543 z^3 + 24882 z^4 - 9425 z^5 + 10556 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (33792 + 136704 z + 202764 z^2 + 124445 z^3 + 18850 z^4 - 4147 z^5 + 10556 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