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Question Number 186531 by normans last updated on 05/Feb/23

$$$$ $$\mathbb{Q}.\mathit{u}\mathit{s}\mathit{e}\mathit{t}\mathit{h}\mathit{e}\mathit{p}\mathit{a}\mathit{r}\mathit{s}\mathit{e}\mathit{v}\mathit{a}\mathit{l}\mathit{r}\mathit{e}\mathit{l}\mathit{a}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathit{o}\mathit{f}\mathit{h}\mathit{a}\mathit{n}\mathit{k}\mathit{e}\mathit{l}\mathit{t}\mathit{r}\mathit{a}\mathit{n}\mathit{s}\mathit{f}\mathit{r}\mathit{o}\mathit{m}\mathit{t}\mathit{o}\mathit{e}\mathit{v}\mathit{a}\mathit{l}\mathit{u}\mathit{a}\mathit{t}\mathit{e}\mathit{t}\mathit{h}\mathit{e}\mathit{I}\mathit{n}\mathit{t}\mathit{e}\mathit{g}\mathit{r}\mathit{a}\mathit{l}$$ $${\stackrel{\mathrm{\infty }}{\int }}_0\frac{{\mathit{J}}_{\mathit{\gamma }+1}\left(\mathit{a}\mathit{r}\right){\mathit{J}}_{\mathit{\gamma }+1}\left(\mathit{b}\mathit{r}\right)}{\mathit{r}},\mathit{f}\mathit{o}\mathit{r}\mathit{\gamma }>-\frac{1}{2},0<\mathit{a}<\mathit{b}$$ $$\mathit{w}\mathit{h}\mathit{e}\mathit{r}\mathit{e}{\mathit{J}}_{\mathit{n}}\left(\mathit{x}\right)\mathit{a}\mathit{r}\mathit{e}\mathit{b}\mathit{e}\mathit{s}\mathit{s}\mathit{e}\mathit{l}\mathit{f}\mathit{u}\mathit{n}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathit{s}.$$ $$$$

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