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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=-21/8, b>=a > For fixed z and a=-21/8, b=47/8





http://functions.wolfram.com/07.23.03.bm6l.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, -(11/2), -z] == (1/(4190208 (1 + z)^(67/8))) ((-(-4190208 - 22165248 z - 39865504 z^2 - 18631403 z^3 + 12426164 z^4 - 13884962 z^5 + 32960564 z^6 + 190879477 z^7 + 281173536 z^8 + 200884992 z^9 + 72855552 z^10 + 10813440 z^11)) Cos[(3 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (785664 + 4041408 z + 6911667 z^2 + 2608154 z^3 - 2535428 z^4 + 2984618 z^5 + 29807001 z^6 + 47916228 z^7 + 35784672 z^8 + 13364736 z^9 + 2027520 z^10) Sin[(3 ArcTan[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