I've derived similar result to that one derived by Dominici. However, my result was derived in very simple and transparent way in contrast to Dominici. Moreover, my result is correct for all values of parameters $a$ and $b$ whereas Dominici's result is correct only for $a+b\leq2\pi$. Now I am intended to prepare an article. But one problem still persist: I can't rigorously prove some mathematical transformation I use. Before preparing the article I have to deal with this problem.
I've suspended publication of the article on infinite series representation of Bessel functions as I still can't prove the possibility of analytic continuation of my series, which holds (verified numerically).
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