2.8.E17

MaRDI QIDQ922

• Label: 2.8.E17

Digital Library of Mathematical Functions ID 2.8.E17

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

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle A_{s}(\xi)}}$: coefficients
• ${\displaystyle{\displaystyle B_{s}(\xi)}}$: coefficients
• ${\displaystyle{\displaystyle\psi(\xi)}}$: function
 

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