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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreP[nu,mu,3,z] > Representations through more general functions > Through Meijer G > Classical cases involving sgn





http://functions.wolfram.com/07.09.26.0028.01









  


  










Input Form





LegendreP[\[Nu], \[Mu], 3, (1 + z)/(2 Sqrt[z])]/(Sign[Abs[z] - 1] (z - 1))^ \[Mu] == (Gamma[1/2 - \[Mu]]/(Sqrt[Pi] Cos[Pi \[Nu]])) (Sin[Pi (\[Mu] - \[Nu])] MeijerG[{{1 - \[Mu] + \[Nu]/2}, {(1 - \[Nu])/2 - \[Mu]}}, {{-(\[Nu]/2)}, {(1 + \[Nu])/2}}, z] + Sin[Pi (\[Mu] + \[Nu])] MeijerG[{{(1 - \[Nu])/2 - \[Mu]}, {1 - \[Mu] + \[Nu]/2}}, {{(1 + \[Nu])/2}, {-(\[Nu]/2)}}, z]) /; !IntervalMemberQ[Interval[{-1, 0}], z]










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





© 1998- Wolfram Research, Inc.