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Dec 22, 2015 at 21:15 comment added Giorgio Thank you Pietro and Robert. This really helps, sometimes the right trick overcomes months of thinking :((
Dec 21, 2015 at 17:00 comment added Robert Israel Actually Bessel functions: $${t}^{1/2-\alpha-p/2}{{ J}_{\sqrt {4\,{\alpha}^{2}+4\,\alpha\,p+{p}^ {2}-4\,\alpha-2\,p-2\,z_{{1}}+1}}\left(\sqrt {2z_{{2}} t}\right)} $$ and the corresponding expression with $Y$ instead of $J$.
Dec 21, 2015 at 16:29 history answered Pietro Majer CC BY-SA 3.0