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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=1





http://functions.wolfram.com/07.23.03.bf59.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 1, 5, z] == -((1/(2117115 z^4)) (32 (-1024 (-1 + (1 - z)^(7/8)) + 896 (-9 + 8 (1 - z)^(7/8)) z - 168 (-165 + 128 (1 - z)^(7/8)) z^2 + 35 (-1551 + 1024 (1 - z)^(7/8)) z^3 - 35840 (1 - z)^(7/8) z^4 + 21504 (1 - z)^(7/8) z^5 - 7168 (1 - z)^(7/8) z^6 + 1024 (1 - z)^(7/8) z^7)))








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