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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.btu9.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 39/8, -(3/2), -z] == (1/(11408 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-11408 - 24955 z + 71300 z^2 + 246649 z^3 + 293018 z^4 + 159280 z^5 + 33440 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + 2 Sqrt[z] (-1426 - 3565 z + 83323 z^2 + 187669 z^3 + 184239 z^4 + 88000 z^5 + 16720 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