Generating Functions For a New Class of Recursive Polynomials
V. James *
Department of Mathematics, Rajalakshmi Engineering College, Chennai, India.
B. Sivakumar
Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we examine a family of recursively defined polynomials with four-variables on a fourth order recurrence relation and build their generating function. These generating functions enable us to derive several properties of the four-variable polynomials. Finally, we deduce new identities for the new class of polynomials with four-variables and also, we define the Q-matrix.
Keywords: Fibonacci polynomials;, recurrence relation;, recursive polynomials;, generating functions.