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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=17/8, b>=a > For fixed z and a=17/8, b=39/8





http://functions.wolfram.com/07.23.03.c6mi.01









  


  








Input Form





Hypergeometric2F1[17/8, 39/8, -(3/2), -z] == (1/(11408 (1 + z)^(17/2))) (Sqrt[1 + z] (11408 + 170407 z + 2401384 z^2 - 8132694 z^3 + 1473316 z^4 + 144391 z^5 + 10556 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (2852 + 43493 z + 19512520 z^2 - 25981282 z^3 + 1544192 z^4 + 149669 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