Formula:937

Digital Library of Mathematical Functions ID 2.8.E31

${\displaystyle{\displaystyle B_{s}(\xi)=-A_{s}^{\prime}(\xi)+\frac{1}{|\xi|^{1/2}}\int_{\xi}^{0}\left(\psi(v)A_{s}(v)-\left(\nu+\tfrac{1}{2}\right)A_{s}^{\prime}(v)\right)\frac{\mathrm{d}v}{|v|^{1/2}},}}$

Symbols List

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

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