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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 3 and fixed z > For fixed z and a=-16/3, b>=a > For fixed z and a=-16/3, b=4





http://functions.wolfram.com/07.23.03.5038.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 4, -(7/3), -z] == (1/15309) (-((1/(1 + z)) (3 (-5103 + 41553 z - 332424 z^2 + 7202520 z^3 + 46826260 z^4 + 77217140 z^5 + 38038000 z^6))) + 138320 z^(10/3) (104 + 352 z + 275 z^2) Log[1 + z^(1/3)] - 138320 (-1)^(1/3) z^(10/3) (104 + 352 z + 275 z^2) Log[1 - (-1)^(1/3) z^(1/3)] + 138320 (-1)^(2/3) z^(10/3) (104 + 352 z + 275 z^2) Log[1 + (-1)^(2/3) z^(1/3)])








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