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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=-27/8, b>=a > For fixed z and a=-27/8, b=33/8





http://functions.wolfram.com/07.23.03.bi33.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 33/8, -(19/4), z] == (-258400 + 550800 z - 54230 z^2 - 105485 z^3 - 212500 z^4 - 728025 z^5 + 2468256 z^6 - 2114816 z^7 + 585728 z^8 - (1/Sqrt[1 - z]) (2 (129200 - 340000 z + 148665 z^2 + 65535 z^3 + 88655 z^4 + 309825 z^5 - 4549272 z^6 + 7748288 z^7 - 5035008 z^8 + 1171456 z^9)))/ (258400 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^5)








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