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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=4/3, b>=a > For fixed z and a=4/3, b=14/3





http://functions.wolfram.com/07.23.03.7995.01









  


  








Input Form





Hypergeometric2F1[4/3, 14/3, -(7/2), -z] == (1/(622080 (1 + z)^(19/2))) ((622080 + 7050240 z + 38925824 z^2 + 151689216 z^3 + 716528640 z^4 - 1193122853 z^5 - 32996490 z^6 - 4626312 z^7 - 362848 z^8) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (207360 + 2204160 z + 11440128 z^2 + 42674176 z^3 - 527274095 z^4 + 30819402 z^5 + 4444888 z^6 + 362848 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