DLMF:10.53.E2 (Q3756)

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Language	Label	Description	Also known as
English	DLMF:10.53.E2	No description defined

Statements

Defining formula

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

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DLMF:10.53.E2

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{\displaystyle{\displaystyle 0<|z|<\infty.}}

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Defining formula

{\displaystyle{\displaystyle!!}}

introduction.Sx4.p1.t1.r16.m7aadec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aadec

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1adec

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