Certain class of mixed integral transforms (Fourier-Bessel-Fourier-\dots- Bessel- Fourier) on the polar axis with \(2n\) points of conjugation (Q1317576)

The singular Sturm-Liouville problem is considered on the set \[ I^ +_{2n}= \left\{r: r\in \bigcup^{2n}_{k=0} (R_ k,R_{k+1});\;R_ 0=0;\;R_{n+1}=\infty\right\}. \] Basing on the solutions of this problem the mixed integral transform is built and the integral representation is obtained. In order to apply the integral transforms for solving corresponding problems of mathematical physics the main identity for the integral transform of singular differential operators is received.