DLMF:10.22.E60 (Q3434)

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Language	Label	Description	Also known as
English	DLMF:10.22.E60	No description defined

Statements

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{ibt}Y_{0}\left(at\right)% \mathrm{d}t=\begin{cases}(2i/\pi)(a^{2}-b^{2})^{-\frac{1}{2}}\operatorname{% arcsin}\left(b/a\right),&0\leq b<a,\\ (b^{2}-a^{2})^{-\frac{1}{2}}\left(-1+\dfrac{2i}{\pi}\ln\left(\dfrac{a}{b+(b^{2% }-a^{2})^{\frac{1}{2}}}\right)\right),&0<a<b.\end{cases}}}

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DLMF:10.22.E60

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

C10.S2.E3.m2aidec

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