New concepts in sequences

In this book we consider the concept of sequences in mathematics. We give a brief discussion of some know concepts and theorems like "Sarkoviskii's Theorem". Recently, many authors consider new concepts like rational sequences and piece-wise defined sequences. We talk about this new trend and develop our own concepts. We prove many results regarding these new concepts. Specifically, we focus on the sequences defined as Q{k}=hQ{k-1}² , if Q{k-1} v, Q{k}=hQ{k-1}-j , if Q{k-1}v, for k=1,2,... . where h, j, v, and Q are fixed real numbers. We and J. Guyker pubilshed a paper entitled "Nonlinear Piecewise De fined Difference Equations" in International Mathematical Forum, Vol. 7, 2012, no. 1, 47 - 56.

Autorentext

Muna is a jordanian who studied (Bs. C.) at Alzaitona university in Amman and studied (Ms. C.) at Al-Albayt university in Mafraq. Saleem Al-ashhab is a jordanian mathematician who studied and got his PH. D at the Humboldt-Univeristy (1985-1993) in Germany.