DLMF:10.22.E11 (Q3385)

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Language	Label	Description	Also known as
English	DLMF:10.22.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{x}\frac{1-J_{0}\left(t\right)}{t}\mathrm% {d}t=\frac{1}{2}\sum_{k=1}^{\infty}\frac{\psi\left(k+1\right)-\psi\left(1% \right)}{k!}(\tfrac{1}{2}x)^{k}J_{k}\left(x\right),}}

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DLMF:10.22.E11

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2acdec

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Defining formula

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

C1.S4.SS4.m1ajdec

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psi (or digamma) function

Defining formula

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

C5.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ajdec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1cdec

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Sitelinks

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