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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,2,z] > Specific values > Specialized values > For fixed mu, z





http://functions.wolfram.com/07.11.03.0021.01









  


  










Input Form





LegendreQ[7, \[Mu], 2, z] == (((Pi Csc[Pi \[Mu]])/(2 Gamma[8 - \[Mu]])) ((1 + z)^\[Mu] (135135 z^7 + 2304 \[Mu] - 135135 z^6 \[Mu] - \[Mu]^3 (-28 + \[Mu]^2)^2 - 17325 z^4 \[Mu] (-10 + \[Mu]^2) + 31185 z^5 (-7 + 2 \[Mu]^2) - 189 z^2 \[Mu] (283 - 60 \[Mu]^2 + 2 \[Mu]^4) + 1575 z^3 (63 - 38 \[Mu]^2 + 2 \[Mu]^4) + 7 z (-1575 + 1516 \[Mu]^2 - 170 \[Mu]^4 + 4 \[Mu]^6)) Cos[Pi \[Mu]] - (1 - z)^\[Mu] (135135 z^7 - 2304 \[Mu] + 135135 z^6 \[Mu] + \[Mu]^3 (-28 + \[Mu]^2)^2 + 17325 z^4 \[Mu] (-10 + \[Mu]^2) + 31185 z^5 (-7 + 2 \[Mu]^2) + 189 z^2 \[Mu] (283 - 60 \[Mu]^2 + 2 \[Mu]^4) + 1575 z^3 (63 - 38 \[Mu]^2 + 2 \[Mu]^4) + 7 z (-1575 + 1516 \[Mu]^2 - 170 \[Mu]^4 + 4 \[Mu]^6))))/ (1 - z^2)^(\[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





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