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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.b55q.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 1, 6, z] == -((1/(112724073 z^5)) (8 (32768 (-1 + (1 - z)^(7/8)) - 4096 (-87 + 80 (1 - z)^(7/8)) z + 768 (-2291 + 1920 (1 - z)^(7/8)) z^2 + (5205152 - 3932160 (1 - z)^(7/8)) z^3 + 21 (-487983 + 327680 (1 - z)^(7/8)) z^4 - 8257536 (1 - z)^(7/8) z^5 + 6881280 (1 - z)^(7/8) z^6 - 3932160 (1 - z)^(7/8) z^7 + 1474560 (1 - z)^(7/8) z^8 - 327680 (1 - z)^(7/8) z^9 + 32768 (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