DLMF:18.16.E8 (Q5731)

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No description defined

Language	Label	Description	Also known as
English	DLMF:18.16.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta_{n,m}=\phi_{m}+\left(\left(\alpha^{2}-% \tfrac{1}{4}\right)\frac{1-\phi_{m}\cot\phi_{m}}{2\phi_{m}}-\tfrac{1}{4}(% \alpha^{2}-\beta^{2})\tan\left(\tfrac{1}{2}\phi_{m}\right)\right)\frac{1}{\rho% ^{2}}+\phi_{m}^{2}O\left(\frac{1}{\rho^{3}}\right),}}

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DLMF:18.16.E8

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order not exceeding

Defining formula

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

C2.S1.E3.m2adec

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cotangent function

Defining formula

{\displaystyle{\displaystyle\cot\NVar{z}}}

C4.S14.E7.m2adec

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tangent function

Defining formula

{\displaystyle{\displaystyle\tan\NVar{z}}}

C4.S14.E4.m2adec

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Defining formula

{\displaystyle{\displaystyle m}}

C18.S1.XMD5.m1fdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1gdec

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Defining formula

{\displaystyle{\displaystyle\rho}}

C18.S15.XMD4.m1cdec

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Defining formula

{\displaystyle{\displaystyle\theta_{n,m}}}

C18.S16.XMD1.m1gdec

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Defining formula

{\displaystyle{\displaystyle\phi_{m}}}

C18.S16.XMD2.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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