Article ID Journal Published Year Pages File Type
4652837 Electronic Notes in Discrete Mathematics 2007 8 Pages PDF
Abstract

In this work we study the different type of regular boundary value problems on a path associated with the Schrödinger operator. In particular, we obtain the Green function for each problem and we emphasize the case of Sturm-Liouville boundary conditions. In any case, the Green function is given in terms of second kind Chebyshev polynomials since they verify a recurrence law similar to the one verified by the Schödinger operator on a path.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics