DLMF:10.22.E45 (Q3419): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.22.E45	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}\frac{1-J_{0}\left(t\right)}{t^{% \mu}}\mathrm{d}t=-\frac{\pi\sec\left(\frac{1}{2}\mu\pi\right)}{2^{\mu}{\Gamma^% {2}}\left(\frac{1}{2}\mu+\frac{1}{2}\right)},}}

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DLMF:10.22.E45

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{\displaystyle{\displaystyle 1<\Re\mu<3}}

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aahdec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2akdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ardec

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Defining formula

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

C1.S4.SS4.m1aardec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aardec

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