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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=-7/3, b>=a > For fixed z and a=-7/3, b=6





http://functions.wolfram.com/07.23.03.6575.01









  


  








Input Form





Hypergeometric2F1[-(7/3), 6, 17/3, -z] == (1/(215233605 z^(14/3))) (22 (3 z^(2/3) (-1540 + 4536 z - 12243 z^2 + 39676 z^3 + 3020940 z^4 + 6016920 z^5 + 3043040 z^6) - 140 (1 + z)^2 (22 - 100 z + 325 z^2 - 1040 z^3 + 4940 z^4 + 21736 z^5) Log[1 + z^(1/3)] + 140 (-1)^(1/3) (1 + z)^2 (22 - 100 z + 325 z^2 - 1040 z^3 + 4940 z^4 + 21736 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 140 (-1)^(2/3) (1 + z)^2 (22 - 100 z + 325 z^2 - 1040 z^3 + 4940 z^4 + 21736 z^5) 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