DLMF:10.49.E8 (Q3702)

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Language	Label	Description	Also known as
English	DLMF:10.49.E8	No description defined

Statements

Defining formula

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

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DLMF:10.49.E8

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2abdec

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modified spherical Bessel function

Defining formula

{\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}

C10.S47.E7.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1edec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1edec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1fdec

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expansion (locally)

Defining formula

{\displaystyle{\displaystyle a_{k}(\nu)}}

C10.S17.XMD1.m1edec

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Sitelinks

Wikipedia(0 entries)

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