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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=33/8, b>=a > For fixed z and a=33/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[33/8, 47/8, -(7/2), -z] == (1/(1277696 (1 + z)^(27/2))) (Sqrt[1 + z] (1277696 + 25496880 z + 277795495 z^2 + 2542580816 z^3 + 38197968957 z^4 - 234057712074 z^5 + 238954952289 z^6 - 54376476156 z^7 + 1259250267 z^8 + 20814054 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (159712 + 3237020 z + 35699197 z^2 + 328263061 z^3 + 185395079325 z^4 - 533481015675 z^5 + 354497499807 z^6 - 55370707113 z^7 + 634828647 z^8 + 10407027 z^9) 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