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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=23/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 23/8, -(9/2), -z] == (1/(46080 (1 + z)^(13/2))) (-4 Sqrt[1 + z] (-11520 - 63040 z - 135555 z^2 - 134399 z^3 - 37700 z^4 + 50895 z^5 + 38077 z^6 + 8294 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-11520 - 66640 z - 153725 z^2 - 169279 z^3 - 65975 z^4 + 275587 z^5 + 168896 z^6 + 33176 z^7) 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