Add to ORKGPart of understanding the global dynamics of mathematical models is to investigate the end behaviors (i.e. limits at infinity) of these models. As shown in almost every precalculus course, values of both exponential functions of the form ekx , k \u3e 0, and polynomials with positive leading coefficient grow as their input values gets “arbitrarily large”. Motivated by these facts, we investigate how the growth of exponential functions compares to the growth of polynomials. In particular, we show that every function of the form ekx, for k \u3e 0, eventually dominates every polynomial
In this paper we study a class of dynamical systems generated by iterations of multivariate polynomi...
One of the basic principles studied in mathematics is the observation of relationships between two c...
AbstractIn this paper we show that the growth of a context-free language is either polynomial or exp...
Part of understanding the global dynamics of mathematical models is to investigate the end behaviors...
An exponential polynomial is a finite linear sum of terms $P(z)e^{Q(z)}$, where $P(z)$ and $Q(z)$ ar...
We present a dichotomy, in terms of growth at infinity, of analytic functions definable in the real ...
In this note, we hit upon an interesting property of polynomial functions that mimic the behavio...
O. Jones, M. E. M. Thomas and A. J. Wilkie We present a dichotomy, in terms of growth at infinity, o...
AbstractWe study the analog of power series expansions on the Sierpinski gasket, for analysis based ...
AbstractIt is known that the number of overlap-free binary words of length n grows polynomially, whi...
We consider families of entire transcendental maps given by Fλ,m(z) = λzm exp(z) where m ≥ 2. All th...
We present a dichotomy, in terms of growth at infinity, of analytic functions definable in the real ...
In this paper we will show that noise can make a given system whose solutions grow exponentially bec...
Abstract The focus of this thesis is on two functions: the exponential function and Euler’s factori...
AbstractWe show that exponential growth is the critical discrete rate of growth for zero-free entire...
In this paper we study a class of dynamical systems generated by iterations of multivariate polynomi...
One of the basic principles studied in mathematics is the observation of relationships between two c...
AbstractIn this paper we show that the growth of a context-free language is either polynomial or exp...
Part of understanding the global dynamics of mathematical models is to investigate the end behaviors...
An exponential polynomial is a finite linear sum of terms $P(z)e^{Q(z)}$, where $P(z)$ and $Q(z)$ ar...
We present a dichotomy, in terms of growth at infinity, of analytic functions definable in the real ...
In this note, we hit upon an interesting property of polynomial functions that mimic the behavio...
O. Jones, M. E. M. Thomas and A. J. Wilkie We present a dichotomy, in terms of growth at infinity, o...
AbstractWe study the analog of power series expansions on the Sierpinski gasket, for analysis based ...
AbstractIt is known that the number of overlap-free binary words of length n grows polynomially, whi...
We consider families of entire transcendental maps given by Fλ,m(z) = λzm exp(z) where m ≥ 2. All th...
We present a dichotomy, in terms of growth at infinity, of analytic functions definable in the real ...
In this paper we will show that noise can make a given system whose solutions grow exponentially bec...
Abstract The focus of this thesis is on two functions: the exponential function and Euler’s factori...
AbstractWe show that exponential growth is the critical discrete rate of growth for zero-free entire...
In this paper we study a class of dynamical systems generated by iterations of multivariate polynomi...
One of the basic principles studied in mathematics is the observation of relationships between two c...
AbstractIn this paper we show that the growth of a context-free language is either polynomial or exp...