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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.b519.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(1/8), 7/2, z] == (1/(38047929381 z^(5/2))) (64 (-2 Sqrt[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) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) ((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) Sin[ArcSin[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