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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=-41/8, b>=a > For fixed z and a=-41/8, b=4





http://functions.wolfram.com/07.23.03.b9dl.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 4, 6, z] == -((1/(71565039 z^5)) (256 (-4096 (-1 + (1 - z)^(1/8)) + 128 (-81 + 77 (1 - z)^(1/8)) z + 1008 (1 - z)^(1/8) z^2 + 525 (1 - z)^(1/8) z^3 + 357 (1 - z)^(1/8) z^4 - 279279 (1 - z)^(1/8) z^5 + 920409 (1 - z)^(1/8) z^6 - 1307193 (1 - z)^(1/8) z^7 + 976815 (1 - z)^(1/8) z^8 - 378917 (1 - z)^(1/8) z^9 + 60515 (1 - z)^(1/8) 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