Solutions of a Bessel-type differential equation using the Tridiagonal Representation Approach

We obtain a class of exact solutions Bessel-type differential equation, which is six-parameter linear ordinary equation the second order with irregular (essential) singularity at origin. The are obtained using Tridiagonal Representation Approach (TRA) as bounded series square integrable functions written in terms Bessel polynomial on real line. expansion coefficients orthogonal polynomials parameters space. use our findings to Schr\"odinger for some novel potential functions.