DLMF:10.60.E9 (Q3784): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.60.E9	No description defined

Statements

Defining formula

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

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DLMF:10.60.E9

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cosine function

Defining formula

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

C4.S14.E2.m2aedec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2addec

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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.m3aedec

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modified spherical Bessel function

Defining formula

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

C10.S47.E7.m2abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1hdec

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Sitelinks

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