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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=39/8





http://functions.wolfram.com/07.23.03.by1t.01









  


  








Input Form





Hypergeometric2F1[1/8, 39/8, -(5/2), -z] == (1/(228160 (1 + z)^(15/2))) (Sqrt[1 + z] (228160 + 1659864 z + 5352491 z^2 + 11354525 z^3 + 9568533 z^4 + 5377463 z^5 + 1725724 z^6 + 240240 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (57040 + 432791 z + 1460224 z^2 + 15565082 z^3 + 12056564 z^4 + 6210295 z^5 + 1845844 z^6 + 240240 z^7) 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