DLMF:10.60.E8 (Q3783)

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Language	Label	Description	Also known as
English	DLMF:10.60.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle e^{z\cos\alpha}=\sum_{n=0}^{\infty}(2n+1){\mathsf% {i}^{(1)}_{n}}\left(z\right)P_{n}\left(\cos\alpha\right),}}

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DLMF:10.60.E8

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cosine function

Defining formula

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

C4.S14.E2.m2addec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2acdec

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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.m3addec

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modified spherical Bessel function

Defining formula

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

C10.S47.E7.m2aadec

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Sitelinks

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