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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/07.23.03.5606.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 5, 17/3, -z] == (1/(2324522934 z^(14/3))) (11 (3 z^(2/3) (-100100 + 121940 z - 221585 z^2 + 639275 z^3 + 66142816 z^4 + 218951720 z^5 + 284598340 z^6 + 168508340 z^7 + 38038000 z^8) - 3640 (1 + z)^5 (55 - 320 z + 1140 z^2 - 3344 z^3 + 10450 z^4) Log[1 + z^(1/3)] + 3640 (-1)^(1/3) (1 + z)^5 (55 - 320 z + 1140 z^2 - 3344 z^3 + 10450 z^4) Log[1 - (-1)^(1/3) z^(1/3)] - 3640 (-1)^(2/3) (1 + z)^5 (55 - 320 z + 1140 z^2 - 3344 z^3 + 10450 z^4) 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