Formula:994

Digital Library of Mathematical Functions ID 2.10.E36

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \LegendrepolyP{n}@{\cos@@{\alpha}}=\left(\frac{2}{\pi n\sin@@{\alpha}}\right)^{1/2}\cos@{n\alpha+\tfrac{1}{2}\alpha-\tfrac{1}{4}\pi}+\littleo@{n^{-1}}.}

Symbols List

• ${\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}$: Legendre polynomial
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle o\left(\NVar{x}\right)}}$: order less than
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
 

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