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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/07.12.03.0024.01









  


  










Input Form





LegendreQ[7, \[Mu], 3, z] == (((Pi Csc[Pi \[Mu]])/(2 Gamma[8 - \[Mu]])) E^(I Pi \[Mu]) ((z + 1)^\[Mu] (135135 z^7 - 135135 z^6 \[Mu] - 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) - \[Mu] (-2304 + 784 \[Mu]^2 - 56 \[Mu]^4 + \[Mu]^6) + 7 z (-1575 + 1516 \[Mu]^2 - 170 \[Mu]^4 + 4 \[Mu]^6)) + (z - 1)^\[Mu] (-135135 z^7 - 135135 z^6 \[Mu] - 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) - \[Mu] (-2304 + 784 \[Mu]^2 - 56 \[Mu]^4 + \[Mu]^6) - 7 z (-1575 + 1516 \[Mu]^2 - 170 \[Mu]^4 + 4 \[Mu]^6))))/ ((z - 1)^(\[Mu]/2) (z + 1)^(\[Mu]/2))










Standard Form





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MathML Form







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</ci> <apply> <plus /> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -10 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1575 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 38 </cn> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 63 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 189 </cn> <ci> &#956; </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 60 </cn> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 283 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 170 </cn> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1516 </cn> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1575 </cn> </apply> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <ci> &#956; </ci> <apply> <plus /> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 6 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 56 </cn> <apply> <power /> <ci> &#956; 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Rule Form





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





2001-10-29