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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=-7/8, b>=a > For fixed z and a=-7/8, b=7/8





http://functions.wolfram.com/07.23.03.bt8t.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 7/8, 11/2, -z] == (1/(10164297 z^(9/2))) (1024 (2 Sqrt[z] (224 + 1212 z + 2685 z^2 + 3121 z^3 + 7163 z^4 + 1131 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((1792 + 10928 z + 27999 z^2 + 39011 z^3 + 33343 z^4 + 15457 z^5 + 2262 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