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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=-31/8, b>=a > For fixed z and a=-31/8, b=-25/8





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









  


  










Input Form





Hypergeometric2F1[-(31/8), -(25/8), 9/2, z] == (1/(10583990987427 z^(7/2))) (256 (Sqrt[z] (-285200 + 5529315 z - 65774250 z^2 + 42437856757 z^3 + 118886656324 z^4 + 69675327261 z^5 + 8319645846 z^6 + 55447275 z^7) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((1140800 - 22901560 z + 278209035 z^2 - 4555677850 z^3 - 22371353467 z^4 + 2009193916 z^5 + 20283608997 z^6 + 4322332854 z^7 + 55447275 z^8) 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