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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=-14/3, b>=a > For fixed z and a=-14/3, b=17/3





http://functions.wolfram.com/07.23.03.5458.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 17/3, -(5/2), -z] == (1/(405 (1 + z)^(7/2))) ((-(-405 + 2844 z - 21518 z^2 + 370188 z^3 + 4393974 z^4 + 13903136 z^5 + 19388512 z^6 + 12646400 z^7 + 3161600 z^8)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (135 - 1043 z + 7917 z^2 + 1625598 z^3 + 7963280 z^4 + 14250912 z^5 + 11065600 z^6 + 3161600 z^7) 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