A new class of ordinary generating functions of binary products of k-Lucas balancing numbers with Chebyshev polynomials

Abstract

In this paper, we introduce an operator in order to derive some symmetric properties of k-balancing numbers, k-Lucas balancing numbers, and Chebyshev polynomials . By making use of the operator defined in this paper, we give some new class of ordinary generating functions of binary products of k-Lucas balancing numbers with Chebyshev polynomials.