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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=-17/8, b>=a > For fixed z and a=-17/8, b=43/8





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









  


  










Input Form





Hypergeometric2F1[-(17/8), 43/8, -(21/4), z] == (995904 - 5987280 z + 13415064 z^2 - 11597961 z^3 - 678300 z^4 + 506730 z^5 + 10094700 z^6 - 18159065 z^7 + 13948960 z^8 - 5254400 z^9 + 798720 z^10 + (1/Sqrt[1 - z]) (995904 - 6485232 z + 16284216 z^2 - 17619327 z^3 + 3779100 z^4 + 1663830 z^5 + 10270260 z^6 - 33631135 z^7 + 39883120 z^8 - 24547200 z^9 + 7915520 z^10 - 1064960 z^11))/ (995904 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + 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