(p; q)-FIBONACCI AND (p; q)-LUCAS SUMS BY THE DERIVATIVES OF SOME POLYNOMIALS
Özet
The main purpose of this paper is to survey several sum formulae of (p,q)-Fibonacci number U_{n} and (p,q)-Lucas number V_{n} by using the first and the second derivatives of the equations
xⁿ=(x²-px+q)(∑U_{j}x^{n-1-j})+U_{n}x-qU_{n-1}
and
2xⁿ⁺¹-pxⁿ=(x²-px+q)(∑V_{j}x^{n-1-j})+V_{n}x-qV_{n-1}.