Application of Chybeshev Polynomials in Factorizations of Balancing and Lucas-Balancing Numbers

Abstract

In this paper, with the help of orthogonal polynomial especially Chybeshev polynomials of first and second kind, number theory and linear algebra intertwined to yield factorization of the balancing and Lucas-balancing numbers.

Keywords

• Balancing numbers
• balancers
• Lucas-balancing numbers
• triangular numbers.