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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 5 and fixed z > For fixed z and a=-16/5, b>=a > For fixed z and a=-16/5, b=2





http://functions.wolfram.com/07.23.03.ash8.01









  


  








Input Form





Hypergeometric2F1[-(16/5), 2, 29/5, z] == (1/(341796875 z^(24/5))) (19 (-1)^(1/5) (11088 (-1)^(4/5) (-1 + z)^7 (19 + 21 z) Log[1 - z^(1/5)] + 11088 (-1 + z)^7 (19 + 21 z) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(1/5) (-11088 (-1 + z)^7 (19 + 21 z) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (11088 (-1 + z)^7 (19 + 21 z) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (-52668 + 287056 z - 575608 z^2 + 388080 z^3 - 3270855 z^4 + 3199728 z^5 - 1380456 z^6 + 232848 z^7) - 11088 (-1 + z)^7 (19 + 21 z) Log[1 - (-1)^(4/5) z^(1/5)])))))








Standard Form





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MathML Form







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</math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02