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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=-13/3, b>=a > For fixed z and a=-13/3, b=5





http://functions.wolfram.com/07.23.03.5591.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 5, -(4/3), z] == (1/26244) ((1/(-1 + z)^2) (3 (8748 + 124659 z + 3989088 z^2 - 38719720 z^3 + 102672960 z^4 - 106126020 z^5 + 38038000 z^6)) + 138320 z^(7/3) (65 - 286 z + 275 z^2) Log[1 - z^(1/3)] - 138320 (-1)^(1/3) z^(7/3) (65 - 286 z + 275 z^2) Log[1 + (-1)^(1/3) z^(1/3)] + 138320 (-1)^(2/3) z^(7/3) (65 - 286 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