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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 3 and fixed z > For fixed z and a=13/3, b>=a > For fixed z and a=13/3, b=17/3





http://functions.wolfram.com/07.23.03.8804.01









  


  










Input Form





Hypergeometric2F1[13/3, 17/3, -(3/2), -z] == (1/(3538944 (1 + z)^(23/2))) ((3538944 + 98828288 z + 2945187840 z^2 - 41496583011 z^3 + 87218836252 z^4 - 44569278600 z^5 + 4625842080 z^6 + 7256960 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-1179648 - 32112640 z + 7567626793 z^2 - 28129464748 z^3 + 21341328920 z^4 - 3174450080 z^5 + 7256960 z^6) Sinh[ArcSinh[Sqrt[z]]/3])










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