New concepts in sequences
Nonlinear Piecwise defined recursive sequences
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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 "Nonlin...
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.
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