DLMF:10.60.E4 (Q3779)

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Language	Label	Description	Also known as
English	DLMF:10.60.E4	No description defined

Statements

Defining formula

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

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DLMF:10.60.E4

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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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.m2abdec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1dec

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Sitelinks

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