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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/07.11.03.0020.01









  


  










Input Form





LegendreQ[6, \[Mu], 2, z] == (((Pi Csc[Pi \[Mu]])/(2 Gamma[7 - \[Mu]])) ((1 + z)^\[Mu] (10395 z^6 - 10395 z^5 \[Mu] + (-5 + \[Mu]) (-3 + \[Mu]) (-1 + \[Mu]) (1 + \[Mu]) (3 + \[Mu]) (5 + \[Mu]) + 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)) Cos[Pi \[Mu]] - (1 - z)^\[Mu] (10395 z^6 + 10395 z^5 \[Mu] + (-5 + \[Mu]) (-3 + \[Mu]) (-1 + \[Mu]) (1 + \[Mu]) (3 + \[Mu]) (5 + \[Mu]) + 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))))/(1 - z^2)^(\[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'> 4 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 25 </cn> <apply> <power /> <ci> &#956; </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 99 </cn> </apply> <ci> z </ci> </apply> <apply> <times /> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> -5 </cn> </apply> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> -3 </cn> </apply> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> -1 </cn> </apply> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> 1 </cn> </apply> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> 3 </cn> </apply> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29