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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,3,z] > Series representations > Generalized power series > Expansions at z==infinity





http://functions.wolfram.com/07.12.06.0028.01









  


  










Input Form





LegendreQ[\[Nu], \[Mu], 3, z] == 2^(-\[Nu] - 1) Sqrt[Pi] E^(I Pi \[Mu]) Gamma[\[Mu] + \[Nu] + 1] z^(-\[Mu] - \[Nu] - 1) (z - 1)^(\[Mu]/2) (z + 1)^(\[Mu]/2) Sum[(Pochhammer[(\[Mu] + \[Nu] + 1)/2, k] Pochhammer[(\[Mu] + \[Nu])/2 + 1, k])/(Gamma[3/2 + \[Nu] + k] k!)/ z^(2 k), {k, 0, Infinity}] /; Abs[z] > 1










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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