Results 51 to 60 of about 3,355,363 (183)
On Intervals, Sensitivity Implies Chaos
Revista Integración, 2003 In this note we investigate which properties can be derived for a continuous function f defined on an interval I if the only a priori given information is its sensitive dependence on initial conditions. Our main result is the following: If f is sensitive,
Héctor Méndez-Lango
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Is the process of finding f′ chaotic?
Revista Integración, 2004 Let (H (C) , ρ) be the metric space of all entire functions f where the metric ρ induces the topology of uniform convergence on compact subsets of the complex plane. Let D : H (C) → H (C) be the linear mapping that assigns to each f its derivative, D(f) =
Héctor Méndez-Lango
doaj
Permutable entire functions satisfying algebraic differential equations
, 2005 It is shown that if two transcendental entire functions permute, and if one of them satisfies an algebraic differential equation, then so does the other one.Comment: 5 ...
A E Eremenko +21 more
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Transcendence measures and algebraic growth of entire functions [PDF]
, 2004 In this paper we obtain estimates for certain transcendence measures of an entire function $f$. Using these estimates, we prove Bernstein, doubling and Markov inequalities for a polynomial $P(z,w)$ in ${\Bbb C}^2$ along the graph of $f$.
Coman, Dan, Poletsky, Evgeny A.
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Maximum modulus of entire functions of two variables and arguments of coefficients of double power series [PDF]
Математичні Студії, 2011 Let $mathcal{L}$ be {the} class of positive continuousfunctions on $(-infty,+infty)$ and {let} $mathcal{L}_+^2$ be{the} class of positive continuous increa-sing with respect toeach variable functions $gamma$ in $mathbb{R}^2$ such that $gamma(r_1,r_2)o ...
O. B. Skaskiv, A. O. Kuryliak
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ON FINDING THE RESULTANT OF TWO ENTIRE FUNCTIONS
Проблемы анализа, 2020 Using Newton’s recurrent formulae, we find the product of values of an entire function of one variable in zeroes of another entire function. This allows to answer whether they have common zeros.
A. M. Kytmanov, E. K. Myshkina
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On dynamics of semiconjugated entire functions [PDF]
, 2014 Let $g$ and $h$ be transcendental entire functions and let $f$ be a continuous map of the complex plane into itself with $f\circ g=h\circ f.$ Then $g$ and $h$ are said to be semiconjugated by $f$ and $f$ is called a semiconjugacy.
Kumar, Dinesh
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Integer-valued entire functions [PDF]
Transactions of the American Mathematical Society, 1971 The theory of integer-valued entire functions is organized in an improved fashion. Detailed results are proved when the indicator diagram is a line segment. For the first time, a method is developed for treating completely integer-valued functions with an unsymmetrical growth pattern.
openaire +2 more sources
Bitlyan-Gol'dberg type inequality for entire functions and diagonal maximal term
Математичні Студії, 2020 In the article is obtained an analogue of Wiman-Bitlyan-Gol'dberg type inequality for entire $f\colon\mathbb{C}^p\to \mathbb{C}$ from the class $\mathcal{E}^{p}(\lambda)$ of functions represented by gap power series of the form $$ f(z)=\sum\limits_{k=0}^{
A. O. Kuryliak +2 more
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On a space of entire functions rapidly decreasing on Rn and its Fourier transform
Concrete Operators, 2015 A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper.
Musin Il’dar Kh.
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