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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=39/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 39/8, 11/2, -z] == (1/(19223193 z^(9/2) Sqrt[1 + z])) (1024 (2 Sqrt[z] Sqrt[1 + z] (224 - 164 z + 191 z^2 - 319 z^3 + 10560 z^4 + 10032 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - (1792 - 80 z + 479 z^2 - 1323 z^3 + 7414 z^4 + 31152 z^5 + 20064 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