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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.bf5c.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 1, 6, z] == -((1/(30063033 z^5)) (8 (32768 (-1 + (1 - z)^(7/8)) - 4096 (-71 + 64 (1 - z)^(7/8)) z + 1792 (-639 + 512 (1 - z)^(7/8)) z^2 - 224 (-11715 + 8192 (1 - z)^(7/8)) z^3 + 35 (-110121 + 65536 (1 - z)^(7/8)) z^4 - 1835008 (1 - z)^(7/8) z^5 + 917504 (1 - z)^(7/8) z^6 - 262144 (1 - z)^(7/8) z^7 + 32768 (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