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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 3 and fixed z > For fixed z and a=16/3, b>=a > For fixed z and a=16/3, b=17/3





http://functions.wolfram.com/07.23.03.8882.01









  


  








Input Form





Hypergeometric2F1[16/3, 17/3, -(11/2), z] == ((1/Sqrt[1 - z]) ((397303087104 - 8760733728768 z + 97547593973760 z^2 - 753802447683584 z^3 + 4828645584535552 z^4 - 31522040818171904 z^5 + 376591230800232448 z^6 + 2913324988175000995 z^7 + 4140860613388633984 z^8 + 1791890564718868648 z^9 + 230107238666363680 z^10 + 5853151964371840 z^11) Cos[ArcSin[Sqrt[z]]/3]) - 3 Sqrt[z] (-44144787456 + 942350008320 z - 10178877456384 z^2 + 76663652089856 z^3 - 483315380387840 z^4 + 3167867734327296 z^5 + 218862099981444515 z^6 + 489262033319514184 z^7 + 287637470130599304 z^8 + 47833254490162400 z^9 + 1572070543984000 z^10) Sin[ArcSin[Sqrt[z]]/3])/(397303087104 (-1 + z)^16)








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