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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=-17/3, b>=a > For fixed z and a=-17/3, b=4





http://functions.wolfram.com/07.23.03.4864.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 4, 10/3, -z] == (1/(143489070 z^(7/3))) (3 z^(1/3) (-52360 + 536690 z + 33030510 z^2 + 167718328 z^3 + 349376860 z^4 + 364052535 z^5 + 189071960 z^6 + 39139100 z^7) + 52360 (1 + z)^5 (1 - 15 z + 345 z^2 + 1495 z^3) Log[1 + z^(1/3)] + 52360 (-1)^(2/3) (1 + z)^5 (1 - 15 z + 345 z^2 + 1495 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 52360 (-1)^(1/3) (1 + z)^5 (1 - 15 z + 345 z^2 + 1495 z^3) 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