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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=-15/8, b>=a > For fixed z and a=-15/8, b=23/8





http://functions.wolfram.com/07.23.03.bp19.01









  


  










Input Form





Hypergeometric2F1[-(15/8), 23/8, 11/2, z] == (1/(5958381 z^(9/2))) (1024 (Sqrt[z] (448 - 1256 z + 715 z^2 + 390 z^3 + 6643 z^4 - 7436 z^5 + 2288 z^6) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((-1792 + 6256 z - 6167 z^2 + 65 z^3 - 2145 z^4 + 10075 z^5 - 8580 z^6 + 2288 z^7) 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