DLMF:2.8.E30 (Q965)

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Language	Label	Description	Also known as
English	DLMF:2.8.E30	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle W_{n,4}(u,\xi)=|\xi|^{1/2}Y_{\nu}\left(u|\xi|^{1/% 2}\right)\left(\sum_{s=0}^{n-1}\frac{A_{s}(\xi)}{u^{2s}}+O\left(\frac{1}{u^{2n% -1}}\right)\right)-|\xi|Y_{\nu+1}\left(u|\xi|^{1/2}\right)\left(\sum_{s=0}^{n-% 2}\frac{B_{s}(\xi)}{u^{2s+1}}+O\left(\frac{1}{u^{2n-2}}\right)\right).}}

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DLMF:2.8.E30

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Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E3.m2adec

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order not exceeding

Defining formula

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

C2.S1.E3.m2aidec

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Defining formula

{\displaystyle{\displaystyle W_{n,j}(u,\xi)}}

C2.S8.XMD20.m1ddec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C2.S8.XMD21.m1fdec

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