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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=41/8





http://functions.wolfram.com/07.23.03.bi87.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(11/4), z] == (4 (1870 + 4165 z + 12750 z^2 + 79475 z^3 - 675204 z^4 + 1288224 z^5 - 978432 z^6 + 266240 z^7) + (1/Sqrt[1 - z]) (7480 + 12920 z + 41735 z^2 + 289850 z^3 - 7523409 z^4 + 23858016 z^5 - 31024896 z^6 + 18583552 z^7 - 4259840 z^8))/(7480 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^4)








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