A Special Property of Lucas polynomials

Abstract

In this we shall we a special representation of this Lucas polynomials sequence which is defined by a recurrence relation with initial terms. A recurrence relation is very useful to solve many problems in mathematics. Fibonacci polynomials are very useful in mathematics as well as physics. Thinking of famous mathematician Carl Friedrich Gauss (1777– 1855) about number theory: “Mathematics is the queen of all sciences, and Number Theory is the queen of Mathematics.”Recurrence Relation polynomial is very important topic of mathematic many real life problems can be solved by Recurrence Relation polynomials and numbers.