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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.cc3z.01









  


  








Input Form





Hypergeometric2F1[33/8, 39/8, -(9/2), -z] == (1/(666624 (1 + z)^(27/2))) (Sqrt[1 + z] (666624 + 11665920 z + 103894020 z^2 + 664653919 z^3 + 3955792758 z^4 + 40532489801 z^5 - 162176964248 z^6 + 105688238049 z^7 - 13936921218 z^8 + 135291351 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (166656 + 2968560 z + 26862771 z^2 + 173905753 z^3 + 1037641703 z^4 + 330444241957 z^5 - 643693416311 z^6 + 277525469691 z^7 - 25432861923 z^8 + 135291351 z^9) 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