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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.bm82.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 47/8, 23/4, z] == (1/(276758793 z^5)) (16 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (6160 + 13244 z + 32585 z^2 + 104939 z^3 + 638448 z^4 - 4659072 z^5 + 6555648 z^6 - 2703360 z^7 - (1/Sqrt[1 - z]) (6160 + 10164 z + 25193 z^2 + 86606 z^3 + 580837 z^4 - 13642848 z^5 + 35777280 z^6 - 33656832 z^7 + 10813440 z^8)))










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