DLMF:10.49.E18 (Q3720)

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Language	Label	Description	Also known as
English	DLMF:10.49.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\mathsf{j}_{n}^{2}}\left(z\right)+{\mathsf{y}_{n}% ^{2}}\left(z\right)=\sum_{k=0}^{n}\frac{s_{k}(n+\frac{1}{2})}{z^{2k+2}}.}}

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DLMF:10.49.E18

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spherical Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}

C10.S47.E3.m2acdec

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spherical Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle\mathsf{y}_{\NVar{n}}\left(\NVar{z}\right)}}

C10.S47.E4.m2acdec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1ldec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1idec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1odec

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Defining formula

{\displaystyle{\displaystyle s_{k}(n)}}

C10.S49.XMD1.m1adec

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Sitelinks

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