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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=-37/8, b>=a > For fixed z and a=-37/8, b=-35/8





http://functions.wolfram.com/07.23.03.bb6s.01









  


  










Input Form





Hypergeometric2F1[-(37/8), -(35/8), 7/2, z] == (1/(8992509295 z^(5/2))) (64 (Sqrt[z] (38628 - 1258629 z + 185809498 z^2 + 1532131549 z^3 + 2935164480 z^4 + 1654025125 z^5 + 248451490 z^6 + 5529315 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-51504 + 1722165 z - 61833771 z^2 - 855531159 z^3 - 1329930151 z^4 + 789226015 z^5 + 1218270175 z^6 + 232598915 z^7 + 5529315 z^8) Sin[(3 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