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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=-47/8, b>=a > For fixed z and a=-47/8, b=2





http://functions.wolfram.com/07.23.03.b5a9.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 2, 6, z] == -((1/(112724073 z^5)) (256 (-4096 (-1 + (1 - z)^(7/8)) + 128 (-261 + 233 (1 - z)^(7/8)) z - 48 (-2291 + 1752 (1 - z)^(7/8)) z^2 + (-162661 + 90624 (1 - z)^(7/8)) z^3 + 75264 (1 - z)^(7/8) z^4 - 370944 (1 - z)^(7/8) z^5 + 542976 (1 - z)^(7/8) z^6 - 443904 (1 - z)^(7/8) z^7 + 216576 (1 - z)^(7/8) z^8 - 59264 (1 - z)^(7/8) z^9 + 7040 (1 - z)^(7/8) z^10)))










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