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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=1/8, b>=a > For fixed z and a=1/8, b=7/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 7/8, -(11/2), -z] == (1/(45056 (1 + z)^(13/2))) (Sqrt[1 + z] (45056 + 272640 z + 689440 z^2 + 934701 z^3 + 720747 z^4 + 306383 z^5 + 69745 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (11264 + 71680 z + 192164 z^2 + 279357 z^3 + 235007 z^4 + 112087 z^5 + 69745 z^6) Sinh[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