Generalization Of Fibonacci Polynomials

Fibonacci sequence is one of the most rapidly growing area of mathematics which has a wide variety of applications in science and mathematics. The manuscript of proposed book is centered on generalization of Fibonacci pol-ynomials. The book will consists of three chapters. Each chapter will be di-vided into several sections. 
In Mathematics, the Polynomials are an important class of simple and smooth functions. Here, simple means they are constructed using only multiplication and addition and smooth means they are infinitely differentiable, i.e., we can say that they have derivatives of all finite orders. Because of their simple structure, the polynomials are very easy to evaluate, and are used extensively in numerical analysis for polynomial interpolation or to numerically integrate more complex functions. In linear algebra, characteristic polynomial of a square matrix encodes several important properties of the matrix. 
Fibonacci polynomials are special cases of Chebyshev polynomials and have been studied on a more advanced level by many mathematicians. The Fibo-nacci polynomials appear as the elements of Q matrix. Fibonacci polynomials have been generalized in a number of ways by many scholars.