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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=-47/8, b>=a > For fixed z and a=-47/8, b=39/8





http://functions.wolfram.com/07.23.03.b5o1.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, 7/2, -z] == (1/(3458902671 z^(5/2) Sqrt[1 + z])) (64 (Sqrt[z] Sqrt[1 + z] (7332 - 98371 z + 56481058 z^2 + 488555645 z^3 + 1630458020 z^4 + 2764697904 z^5 + 2548332288 z^6 + 1221131520 z^7 + 239016960 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (29328 - 373321 z + 9469889 z^2 + 198689617 z^3 + 1076303355 z^4 + 2761249556 z^5 + 3901161168 z^6 + 3129020928 z^7 + 1340640000 z^8 + 239016960 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