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variants of this functions
SphericalHarmonicY






Mathematica Notation

Traditional Notation









Polynomials > SphericalHarmonicY[n,m,theta,phi] > Series representations > Generalized power series > Expansions at cos(theta)==infinity





http://functions.wolfram.com/05.10.06.0023.01









  


  










Input Form





SphericalHarmonicY[n, m, \[CurlyTheta], \[CurlyPhi]] == ((2^(n - 1) Sqrt[2 n + 1] Gamma[1/2 + n])/(Pi Sqrt[Gamma[n - m + 1]] Sqrt[Gamma[n + m + 1]])) E^(I \[CurlyPhi] m) ((Cos[\[CurlyTheta]/2]^2)^(m/2)/(Sin[\[CurlyTheta]/2]^2)^(m/2)) (Cos[\[CurlyTheta]] - 1)^n Hypergeometric2F1[-n, m - n, -2 n, 2/(1 - Cos[\[CurlyTheta]])]










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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