Formula:5663

Digital Library of Mathematical Functions ID 14.30.E4

${\displaystyle{\displaystyle Y_{{l},{m}}\left(0,\phi\right)=\begin{cases}\left(\dfrac{2l+1}{4\pi}\right)^{1/2},&m=0,\\ 0,&|m|=1,2,3,\dots,\end{cases}}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle Y_{{\NVar{l}},{\NVar{m}}}\left(\NVar{\theta},\NVar{\phi}\right)}}$: spherical harmonic
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle l}}$: nonnegative integer
 

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