(p q)-FIBONACCI AND (p q)-LUCAS SUMS BY THE DERIVATIVES OF SOME POLYNOMIALS

Authors : B. DEMİRTÜRK BİTİM, N. TOPAL

Pages : 1733-1741

Doi:10.31801/cfsuasmas.551883

View : 10 | Download : 7

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :The main purpose of this paper is to survey several sum formulae of insert ignore into journalissuearticles values(p,q);-Fibonacci number U_{n} and insert ignore into journalissuearticles values(p,q);-Lucas number V_{n} by using the first and the second derivatives of the equations xⁿ=insert ignore into journalissuearticles values(x²-px+q);insert ignore into journalissuearticles values(∑U_{j}x^{n-1-j});+U_{n}x-qU_{n-1} and 2xⁿ⁺¹-pxⁿ=insert ignore into journalissuearticles values(x²-px+q);insert ignore into journalissuearticles values(∑V_{j}x^{n-1-j});+V_{n}x-qV_{n-1}.
Keywords : Fibonacci polynomial, Lucas polynomial, sum of products