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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,3,z] > Representations through equivalent functions > With related functions





http://functions.wolfram.com/07.12.27.0009.01









  


  










Input Form





LegendreQ[\[Nu], \[Mu], 3, z] == (E^(Pi I \[Mu])/Gamma[-\[Mu]]) (z^2 - 1)^(\[Mu]/2) Integrate[LegendreQ[\[Nu], 0, 3, t] (t - z)^(-\[Mu] - 1), {t, z, Infinity}] /; Re[\[Mu]] < 0 && Re[\[Mu] + \[Nu]] > -1 && !IntervalMemberQ[Interval[{-Infinity, 1}], z]










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)





2001-10-29