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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=1





http://functions.wolfram.com/07.23.03.b55k.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 1, 4, z] == -((1/(82005 z^3)) (8 (128 (-1 + (1 - z)^(7/8)) - 16 (-71 + 64 (1 - z)^(7/8)) z + 7 (-639 + 512 (1 - z)^(7/8)) z^2 - 7168 (1 - z)^(7/8) z^3 + 8960 (1 - z)^(7/8) z^4 - 7168 (1 - z)^(7/8) z^5 + 3584 (1 - z)^(7/8) z^6 - 1024 (1 - z)^(7/8) z^7 + 128 (1 - z)^(7/8) 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