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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=-31/8, b>=a > For fixed z and a=-31/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 23/8, -(9/2), -z] == (1/(64512 (1 + z)^(7/2))) (Sqrt[1 + z] (64512 + 35840 z - 31020 z^2 + 37165 z^3 - 59631 z^4 + 209880 z^5 + 605264 z^6 + 307648 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (16128 + 14000 z - 7097 z^2 + 6926 z^3 - 11121 z^4 + 474056 z^5 + 759088 z^6 + 307648 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