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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=-1/8





http://functions.wolfram.com/07.23.03.b51a.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(1/8), 7/2, -z] == (64 (-2 Sqrt[z] Sqrt[1 + z] (-67022 - 971819 z - 308872791 z^2 + 86123610 z^3 + 39393100 z^4 + 17740849 z^5 + 5885033 z^6 + 1219680 z^7 + 117040 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + (-536176 - 8143173 z - 98287763 z^2 + 52410252 z^3 + 207851850 z^4 + 95199107 z^5 + 41076441 z^6 + 12960486 z^7 + 2556400 z^8 + 234080 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))/(38047929381 z^(5/2) Sqrt[1 + z])








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