A symmetric generalization of Sturm-Liouville problems in $q$-difference spaces

Abstract

Classical Sturm-Liouville problems of $q$-difference variables are extended for symmetric discrete functions such that the corresponding solutions preserve the orthogonality property. Some illustrative examples are given in this sense.

11 pages

References in corpus (2)

• A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
• A basic class of symmetric orthogonal polynomials of a discrete variable