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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/07.12.03.0155.01









  


  










Input Form





LegendreQ[n, m, 3, z] == (((m + n)!/2) (1 - z)^(m + n) (z - 1)^(-(m/2) - n) Sum[((Pochhammer[-n, k] Pochhammer[n + 1, k])/k!) ((((-1)^n (m - n - 1)!)/(k + m)!) ((z + 1)/(z - 1))^m + ((-1)^(k - 1) (m - k - 1)!)/(m + n)!) ((z + 1)/2)^k, {k, 0, n}])/ (z + 1)^(m/2) /; Element[n, Integers] && n >= 0 && Element[m, Integers] && m > 0 && m > n










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)





2007-05-02





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