Abstract: The purpose of this paper is to generalize some results of Horadam and to extend some identities due to Carlitz in the context of functional difference equations. It includes an operator which yields a type of Appell-set criterion. Generalizations of Simson’s identity occur as by-products and these are linked to some recent advances in the literature.
Keywords: Recurrence relation, Appell set, Fibonacci numbers, Lucas numbers and Simson’s identity.
How to cite this article:
A. G. Shannon and Kenny Pruitt, Functional Difference Equations, International Journal of Advances in Mathematics, Volume 2017, Number 5, Pages 22-30, 2017.