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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=-39/8, b>=a > For fixed z and a=-39/8, b=31/8





http://functions.wolfram.com/07.23.03.baj0.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 31/8, -(7/2), -z] == (1/(8960 (1 + z)^(5/2))) (Sqrt[1 + z] (8960 - 30160 z + 93907 z^2 - 365409 z^3 + 3218600 z^4 + 23103696 z^5 + 34309440 z^6 + 14927616 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (2240 - 6840 z + 20823 z^2 - 82841 z^3 + 11414744 z^4 + 38392464 z^5 + 41773248 z^6 + 14927616 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