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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.09.03.0020.01









  


  










Input Form





LegendreP[9, \[Mu], 3, z] == (1/Gamma[10 - \[Mu]]) (34459425 z^9 - 34459425 z^8 \[Mu] - 4729725 z^6 \[Mu] (-13 + \[Mu]^2) + 8108100 z^7 (-9 + 2 \[Mu]^2) - 135135 z^4 \[Mu] (249 - 40 \[Mu]^2 + \[Mu]^4) + 945945 z^5 (54 - 25 \[Mu]^2 + \[Mu]^4) - 495 z^2 \[Mu] (-11601 + 2933 \[Mu]^2 - 154 \[Mu]^4 + 2 \[Mu]^6) + 6930 z^3 (-1890 + 1373 \[Mu]^2 - 115 \[Mu]^4 + 2 \[Mu]^6) - \[Mu] (147456 - 52480 \[Mu]^2 + 4368 \[Mu]^4 - 120 \[Mu]^6 + \[Mu]^8) + 45 z (19845 - 20217 \[Mu]^2 + 2674 \[Mu]^4 - 98 \[Mu]^6 + \[Mu]^8)) ((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