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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,3,z] > Specific values > Specialized values > For fixed mu, z





http://functions.wolfram.com/07.12.03.0023.01









  


  










Input Form





LegendreQ[6, \[Mu], 3, z] == (((Pi Csc[Pi \[Mu]])/(2 Gamma[7 - \[Mu]])) E^(I Pi \[Mu]) ((z + 1)^\[Mu] (-225 + 10395 z^6 - 10395 z^5 \[Mu] + 259 \[Mu]^2 - 35 \[Mu]^4 + \[Mu]^6 + 4725 z^4 (-3 + \[Mu]^2) - 630 z^3 \[Mu] (-17 + 2 \[Mu]^2) - 21 z \[Mu] (99 - 25 \[Mu]^2 + \[Mu]^4) + 105 z^2 (45 - 32 \[Mu]^2 + 2 \[Mu]^4)) + (z - 1)^\[Mu] (225 - 10395 z^6 - 10395 z^5 \[Mu] - 259 \[Mu]^2 + 35 \[Mu]^4 - \[Mu]^6 - 4725 z^4 (-3 + \[Mu]^2) - 630 z^3 \[Mu] (-17 + 2 \[Mu]^2) - 21 z \[Mu] (99 - 25 \[Mu]^2 + \[Mu]^4) - 105 z^2 (45 - 32 \[Mu]^2 + 2 \[Mu]^4))))/ ((z - 1)^(\[Mu]/2) (z + 1)^(\[Mu]/2))










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