DLMF:10.49.E2 (Q3692): Difference between revisions

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Latest revision as of 14:10, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.49.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{j}_{n}\left(z\right)=\sin\left(z-\tfrac{1}% {2}n\pi\right)\sum_{k=0}^{\left\lfloor n/2\right\rfloor}(-1)^{k}\frac{a_{2k}(n% +\tfrac{1}{2})}{z^{2k+1}}+\cos\left(z-\tfrac{1}{2}n\pi\right)\sum_{k=0}^{\left% \lfloor(n-1)/2\right\rfloor}(-1)^{k}\frac{a_{2k+1}(n+\tfrac{1}{2})}{z^{2k+2}}.}}

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DLMF:10.49.E2

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

introduction.Sx4.p1.t1.r17.m4adec

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Defining formula

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

C4.S14.E1.m2adec

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1dec

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expansion (locally)

Defining formula

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

C10.S17.XMD1.m1adec

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Sitelinks

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