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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=1/3, b>=a > For fixed z and a=1/3, b=14/3





http://functions.wolfram.com/07.23.03.7549.01









  


  










Input Form





Hypergeometric2F1[1/3, 14/3, -(7/2), -z] == (1/(311040 (1 + z)^(17/2))) ((311040 + 2799360 z + 11447296 z^2 + 28965888 z^3 + 62505472 z^4 + 11480151 z^5 + 4513704 z^6 + 1113568 z^7 + 125120 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-103680 - 860160 z - 3218432 z^2 - 7452672 z^3 + 9601787 z^4 + 4003840 z^5 + 1051008 z^6 + 125120 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