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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=33/8, b>=a > For fixed z and a=33/8, b=39/8





http://functions.wolfram.com/07.23.03.cc47.01









  


  








Input Form





Hypergeometric2F1[33/8, 39/8, -(5/2), -z] == (1/(1140800 (1 + z)^(23/2))) (Sqrt[1 + z] (1140800 + 21760760 z + 256448275 z^2 + 4299229575 z^3 - 26670583042 z^4 + 24661389126 z^5 - 4377780129 z^6 + 55447275 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (285200 + 5529315 z + 65774250 z^2 + 42437856757 z^3 - 118886656324 z^4 + 69675327261 z^5 - 8319645846 z^6 + 55447275 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