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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,z] > Representations through more general functions > Through hypergeometric functions > Involving 2F1





http://functions.wolfram.com/07.10.26.0006.01









  


  










Input Form





LegendreQ[n, z] == ((2^(-1 - n) n! Gamma[-(1/2) - n])/Sqrt[Pi]) (1 - z)^(-n - 1) Hypergeometric2F1[n + 1, n + 1, 2 n + 2, 2/(1 - z)] + 2^(-1 - n) (z - 1)^n (Log[1 + z] - Log[-z - 1]) Sum[((2 n - k)!/(k! (n - k)!^2)) (2/(z - 1))^k, {k, 0, n}] /; Element[n, Integers] && n >= 0










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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