DLMF:10.9.E2 (Q3067): Difference between revisions

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Revision as of 15:11, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.9.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle J_{n}\left(z\right)=\frac{1}{\pi}\int_{0}^{\pi}% \cos\left(z\sin\theta-n\theta\right)\mathrm{d}\theta=\frac{i^{-n}}{\pi}\int_{0% }^{\pi}e^{iz\cos\theta}\cos\left(n\theta\right)\mathrm{d}\theta,}}

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DLMF:10.9.E2

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{\displaystyle{\displaystyle n\in\mathbb{Z}}}

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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cosine function

Defining formula

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

C4.S14.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2adec

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Defining formula

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

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathbb{Z}}}

introduction.Sx4.p2.t1.r20.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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Defining formula

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

C4.S14.E1.m2aadec

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Sitelinks

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