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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=-4/3





http://functions.wolfram.com/07.23.03.5190.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(4/3), 5/2, -z] == (27 (Sqrt[z] (-16384 + 3881199 z - 3397821 z^2 - 6943436 z^3 + 403104 z^4 + 55488 z^5 + 4352 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (49152 + 1720320 z - 17661349 z^2 + 15539180 z^3 + 376992 z^4 + 53312 z^5 + 4352 z^6) Sinh[ArcSinh[Sqrt[z]]/3]))/ (120406325 z^(3/2) Sqrt[1 + z])










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