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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=-16/3, b>=a > For fixed z and a=-16/3, b=6





http://functions.wolfram.com/07.23.03.5083.01









  


  










Input Form





Hypergeometric2F1[-(16/3), 6, -(7/3), z] == (1/137781) ((1/(-1 + z)^3) (3 (-45927 - 492075 z - 5412825 z^2 - 171406125 z^3 + 1859075900 z^4 - 6120694580 z^5 + 9032123100 z^6 - 6243937700 z^7 + 1650849200 z^8)) + 7607600 z^(10/3) (52 - 224 z + 217 z^2) Log[1 - z^(1/3)] - 7607600 (-1)^(1/3) z^(10/3) (52 - 224 z + 217 z^2) Log[1 + (-1)^(1/3) z^(1/3)] + 7607600 (-1)^(2/3) z^(10/3) (52 - 224 z + 217 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