DLMF:10.60.E10 (Q3785)

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Language	Label	Description	Also known as
English	DLMF:10.60.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle J_{0}\left(z\sin\alpha\right)=\sum_{n=0}^{\infty}% (4n+1)\frac{(2n)!}{2^{2n}(n!)^{2}}\mathsf{j}_{2n}\left(z\right)P_{2n}\left(% \cos\alpha\right).}}

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DLMF:10.60.E10

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Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2adec

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cosine function

Defining formula

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

C4.S14.E2.m2afdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5acdec

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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.m3afdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aadec

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spherical Bessel function of the first kind

Defining formula

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

C10.S47.E3.m2aedec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1idec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1fdec

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Sitelinks

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