DLMF:2.10.E36 (Q1023)

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Language	Label	Description	Also known as
English	DLMF:2.10.E36	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P_{n}\left(\cos\alpha\right)=\left(\frac{2}{\pi n% \sin\alpha}\right)^{1/2}\cos\left(n\alpha+\tfrac{1}{2}\alpha-\tfrac{1}{4}\pi% \right)+o\left(n^{-1}\right).}}

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DLMF:2.10.E36

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r10.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2akdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2abdec

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order less than

Defining formula

{\displaystyle{\displaystyle o\left(\NVar{x}\right)}}

C2.S1.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2abdec

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Sitelinks

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