DLMF:10.60.E3 (Q3778)

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Language	Label	Description	Also known as
English	DLMF:10.60.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{e^{-w}}{w}=\frac{2}{\pi}\sum_{n=0}^{\infty}(% 2n+1){\mathsf{i}^{(1)}_{n}}\left(v\right)\mathsf{k}_{n}\left(u\right)P_{n}% \left(\cos\alpha\right),}}

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DLMF:10.60.E3

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{\displaystyle{\displaystyle|ve^{\pm i\alpha}|<|u|}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m3abdec

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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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modified spherical Bessel function

Defining formula

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

C10.S47.E9.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1bdec

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Sitelinks

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