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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=4





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









  


  










Input Form





Hypergeometric2F1[-(31/8), 4, 6, z] == -((1/(30063033 z^5)) (256 (-4096 (-1 + (1 - z)^(7/8)) + 128 (-71 + 43 (1 - z)^(7/8)) z + 4592 (1 - z)^(7/8) z^2 + 4235 (1 - z)^(7/8) z^3 + 4025 (1 - z)^(7/8) z^4 - 113554 (1 - z)^(7/8) z^5 + 204386 (1 - z)^(7/8) z^6 - 138697 (1 - z)^(7/8) z^7 + 33605 (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