DLMF:2.8.E17 (Q951)

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Language	Label	Description	Also known as
English	DLMF:2.8.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle B_{s}(\xi)=\begin{cases}\dfrac{1}{2\xi^{1/2}}% \displaystyle\int_{0}^{\xi}\left(\psi(v)A_{s}(v)-A_{s}^{\prime\prime}(v)\right% )\dfrac{\mathrm{d}v}{v^{1/2}},&\xi>0,\\ \dfrac{1}{2(-\xi)^{1/2}}\displaystyle\int_{\xi}^{0}\left(\psi(v)A_{s}(v)-A_{s}% ^{\prime\prime}(v)\right)\dfrac{\mathrm{d}v}{(-v)^{1/2}},&\xi<0,\end{cases}}}

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DLMF:2.8.E17

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Defining formula

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

C1.S4.SS4.m1addec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3addec

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Defining formula

{\displaystyle{\displaystyle A_{s}(\xi)}}

C2.S8.XMD17.m1bdec

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Defining formula

{\displaystyle{\displaystyle B_{s}(\xi)}}

C2.S8.XMD18.m1bdec

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Defining formula

{\displaystyle{\displaystyle\psi(\xi)}}

C2.S8.XMD7.m1fdec

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