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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=10/3, b>=a > For fixed z and a=10/3, b=11/3





http://functions.wolfram.com/07.23.03.8561.01









  


  








Input Form





Hypergeometric2F1[10/3, 11/3, -(3/2), -z] == (1/(110592 (1 + z)^(17/2))) ((110592 + 1847296 z + 29507584 z^2 - 193948743 z^3 + 144013828 z^4 - 14246864 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + 9 Sqrt[z] Sqrt[1 + z] (-4096 - 65536 z + 5503341 z^2 - 7369060 z^3 + 1139504 z^4) 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