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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=-22/5, b>=a > For fixed z and a=-22/5, b=4





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









  


  










Input Form





Hypergeometric2F1[-(22/5), 4, -(2/5), z] == (1/78125) (78125 + 3437500 z - 42170370 z^2 + 104480640 z^3 - 69743520 z^4 - 5236 z^(7/5) (-748 + 5049 z - 9504 z^2 + 5328 z^3) Log[1 - z^(1/5)] - 5236 (-1)^(2/5) z^(7/5) (-748 + 5049 z - 9504 z^2 + 5328 z^3) Log[1 + (-1)^(1/5) z^(1/5)] + 3916528 (-1)^(4/5) z^(7/5) Log[1 - (-1)^(2/5) z^(1/5)] - 26436564 (-1)^(4/5) z^(12/5) Log[1 - (-1)^(2/5) z^(1/5)] + 49762944 (-1)^(4/5) z^(17/5) Log[1 - (-1)^(2/5) z^(1/5)] - 27897408 (-1)^(4/5) z^(22/5) Log[1 - (-1)^(2/5) z^(1/5)] - 3916528 (-1)^(1/5) z^(7/5) Log[1 + (-1)^(3/5) z^(1/5)] + 26436564 (-1)^(1/5) z^(12/5) Log[1 + (-1)^(3/5) z^(1/5)] - 49762944 (-1)^(1/5) z^(17/5) Log[1 + (-1)^(3/5) z^(1/5)] + 27897408 (-1)^(1/5) z^(22/5) Log[1 + (-1)^(3/5) z^(1/5)] - 3916528 (-1)^(3/5) z^(7/5) Log[1 - (-1)^(4/5) z^(1/5)] + 26436564 (-1)^(3/5) z^(12/5) Log[1 - (-1)^(4/5) z^(1/5)] - 49762944 (-1)^(3/5) z^(17/5) Log[1 - (-1)^(4/5) z^(1/5)] + 27897408 (-1)^(3/5) z^(22/5) Log[1 - (-1)^(4/5) z^(1/5)])










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