One class of hybrid integral transforms (Bessel--Fourier--Bessel--\dots--Fourier--Bessel) on polar axis with \(2n\) conjugation points (Q2753502)

The following singular Stourm-Liouville problem on real axis is considered: to construct solution of a separable system of ordinary differential equations satisfied by trigonometric functions in intervals with even numbers and by Bessel functions in intervals with odd numbers (the last \((2n+1)\)th interval is infinite) under some conjugation conditions at \(2n\) conjugation points. Using the technique of delta-like sequences (Dirichlet kernel), a hybrid integral transform of the (Bessel--Fourier--Bessel--\dots--Fourier--Bessel) type is derived. The main identity of integral transform of a differential operator is obtained.