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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=41/8, b>=a > For fixed z and a=41/8, b=47/8





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









  


  










Input Form





Hypergeometric2F1[41/8, 47/8, -(9/2), z] == -((1/(285696 (1 - z)^(31/2))) (Sqrt[1 - z] (-285696 + 6205952 z - 70361940 z^2 + 591359131 z^3 - 4809276109 z^4 + 70652022903 z^5 + 465801702263 z^6 + 580093173425 z^7 + 201814459641 z^8 + 16977949437 z^9 + 114477297 z^10) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-71424 + 1573808 z - 18065839 z^2 + 153136280 z^3 - 1246299076 z^4 + 699093430216 z^5 + 2239433122822 z^6 + 1880887194920 z^7 + 476881850364 z^8 + 29385355848 z^9 + 114477297 z^10) 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