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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=-27/5, b>=a > For fixed z and a=-27/5, b=4





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









  


  










Input Form





Hypergeometric2F1[-(27/5), 4, -(7/5), -z] == (1/546875) (546875 - 8437500 z + 232031250 z^2 + 2233139040 z^3 + 4812302880 z^4 + 2929227840 z^5 + 141372 z^(12/5) (1683 + 9504 z + 15984 z^2 + 8288 z^3) Log[1 + z^(1/5)] + 141372 (-1)^(2/5) z^(12/5) (1683 + 9504 z + 15984 z^2 + 8288 z^3) Log[1 - (-1)^(1/5) z^(1/5)] + 237929076 (-1)^(4/5) z^(12/5) Log[1 + (-1)^(2/5) z^(1/5)] + 1343599488 (-1)^(4/5) z^(17/5) Log[1 + (-1)^(2/5) z^(1/5)] + 2259690048 (-1)^(4/5) z^(22/5) Log[1 + (-1)^(2/5) z^(1/5)] + 1171691136 (-1)^(4/5) z^(27/5) Log[1 + (-1)^(2/5) z^(1/5)] - 237929076 (-1)^(1/5) z^(12/5) Log[1 - (-1)^(3/5) z^(1/5)] - 1343599488 (-1)^(1/5) z^(17/5) Log[1 - (-1)^(3/5) z^(1/5)] - 2259690048 (-1)^(1/5) z^(22/5) Log[1 - (-1)^(3/5) z^(1/5)] - 1171691136 (-1)^(1/5) z^(27/5) Log[1 - (-1)^(3/5) z^(1/5)] - 237929076 (-1)^(3/5) z^(12/5) Log[1 + (-1)^(4/5) z^(1/5)] - 1343599488 (-1)^(3/5) z^(17/5) Log[1 + (-1)^(4/5) z^(1/5)] - 2259690048 (-1)^(3/5) z^(22/5) Log[1 + (-1)^(4/5) z^(1/5)] - 1171691136 (-1)^(3/5) z^(27/5) Log[1 + (-1)^(4/5) z^(1/5)])










Standard Form





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MathML Form







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





2007-05-02