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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 8 and fixed z and a>0 > For fixed z and a=3/8, b>=a > For fixed z and a=3/8, b=5/8





http://functions.wolfram.com/07.23.03.bykm.01









  


  








Input Form





Hypergeometric2F1[3/8, 5/8, -(11/2), -z] == (1/(135168 (1 + z)^(13/2))) (Sqrt[1 + z] (135168 + 854784 z + 2282336 z^2 + 3319351 z^3 + 2821641 z^4 + 1399277 z^5 + 435643 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (101376 + 655872 z + 1796004 z^2 + 2687303 z^3 + 2359901 z^4 + 1214581 z^5 + 435643 z^6) Sinh[(3 ArcSinh[Sqrt[z]])/4])








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