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

Yakoubi Fatma; Ali Boussayoud; Kasi Viswanadh V. Kanuri; Souhila Boughaba

Yakoubi Fatma LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
Ali Boussayoud LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
Kasi Viswanadh V. Kanuri 3669 Leatherwood.Dr. Frisco, TX 75033.USA
Souhila Boughaba LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

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.