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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=-31/8, b>=a > For fixed z and a=-31/8, b=2





http://functions.wolfram.com/07.23.03.bfa5.01









  


  










Input Form





Hypergeometric2F1[-(31/8), 2, 6, z] == -((1/(30063033 z^5)) (256 (-4096 (-1 + (1 - z)^(7/8)) + 128 (-213 + 185 (1 - z)^(7/8)) z - 336 (-213 + 152 (1 - z)^(7/8)) z^2 + 7 (-11715 + 5504 (1 - z)^(7/8)) z^3 + 31360 (1 - z)^(7/8) z^4 - 88704 (1 - z)^(7/8) z^5 + 76160 (1 - z)^(7/8) z^6 - 30848 (1 - z)^(7/8) z^7 + 4992 (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