Özkan, E.; Uysal, M.

We define d-Gaussian Fibonacci polynomials and d-Gaussian Lucas polynomials and present matrix representations of these polynomials. By using the Riordan method, we obtain the factorizations of the Pascal matrix, including polynomials. In addition, we define the infinite d-Gaussian Fibonacci polynomial matrix and the d-Gaussian Lucas polynomial matrix and present their inverses.

Panakhov, E.S.; Sat, M.

We consider the inverse problem for the second-order differential operators with regular singularity and show that the potential function can be uniquely determined by the set of values of eigenfunctions at a certain interior point and parts of two spectra.