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variants of this functions
LegendreQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,z] > Series representations > Generalized power series > Expansions at z==infinity





http://functions.wolfram.com/07.10.06.0020.01









  


  








Input Form





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