DLMF:10.53.E4 (Q3758)

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Language	Label	Description	Also known as
English	DLMF:10.53.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{n}}\left(z\right)=\frac{(-1)^{n% }}{z^{n+1}}\sum_{k=0}^{n}\frac{(2n-2k-1)!!(-\frac{1}{2}z^{2})^{k}}{k!}+\frac{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.E4

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

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Defining formula

{\displaystyle{\displaystyle!!}}

introduction.Sx4.p1.t1.r16.m7acdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5acdec

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modified spherical Bessel function

Defining formula

{\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}

C10.S47.E8.m2adec

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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.m1cdec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1cdec

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