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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/07.11.03.0028.01









  


  










Input Form





LegendreQ[n, m, 2, z] == 2^(-1 - n) (1 + z)^n (m + n)! n! ((1 - z)^(m/2)/(1 + z)^(m/2)) (Sum[(((-1)^k (m - k - 1)!)/(k! (n - k)! (m + n - k)!)) ((z - 1)/(z + 1))^(k - m), {k, 0, m - 1}] - Sum[(((-1)^(n - k) (k + m - n - 1)!)/(k! (k + m)! (n - k)!)) ((z - 1)/(z + 1))^k, {k, 0, n}]) /; 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)





2001-10-29





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