Results 41 to 50 of about 3,355,363 (183)
On Newton's Method for Entire Functions
, 2006 The Newton map N_f of an entire function f turns the roots of f into attracting fixed points. Let U be the immediate attracting basin for such a fixed point of N_f. We study the behavior of N_f in a component V of C\U.
Rueckert, Johannes, Schleicher, Dierk
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On Spirallikeness of Entire Functions
MathematicsIn this article, we establish conditions under which certain entire functions represented as infinite products of their positive zeros are α-spirallike of order cos(α)/2. The discussion includes several examples featuring special functions such as Bessel,
Narjes Alabkary, Saiful R. Mondal
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Uniqueness of entire functions sharing two values with their difference operators
Advances in Difference Equations, 2017 In this paper, we mainly discuss the uniqueness problem when an entire function shares 0 CM and nonzero complex constant a IM with its difference operator.
Sheng Li, Duan Mei, BaoQin Chen
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Stable algebras of entire functions [PDF]
, 2007 Suppose that $h$ and $g$ belong to the algebra $\B$ generated by the rational functions and an entire function $f$ of finite order on ${\Bbb C}^n$ and that $h/g$ has algebraic polar variety.
Coman, Dan, Poletsky, Evgeny A.
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Uniqueness of Entire Functions
Annals of the Alexandru Ioan Cuza University - Mathematics, 2011 Uniqueness of Entire Functions In this paper, we study the uniqueness problems on meromorphic functions sharing a finite set. The results extend and improve some theorems obtained earlier by Fang (2002) and Zhang-Lin (2008).
Zhang, Yi, Xiong, Wei-Ling
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Primeable entire functions [PDF]
Nagoya Mathematical Journal, 1973 An entire function F(z) = f(g(z)) is said to have f(z) and g(z) as left and right factors respe2tively, provided that f(z) is meromorphic and g(z) is entire (g may be meromorphic when f is rational). F(z) is said to be prime (pseudo-prime) if every factorization of the above form implies that one of the functions f and g is bilinear (a rational ...
Gross, Fred +2 more
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Uniqueness of Entire Functions concerning Difference Operator
Abstract and Applied Analysis, 2013 We deal with a uniqueness question of entire functions sharing a nonzero value with their difference operators and obtain some results, which improve the results of Qi et al. (2010) and Zhang (2011).
Chun Wu
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ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR
Проблемы анализа, 2018 We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool.
Isaev K . P .
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On universal entire functions with zero-free derivatives [PDF]
, 1997 We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire functions. Specifically, it is shown that, if a nonnegative integer q and a nonconstant entire function Φ of subexponential type are given, then there is a
Bernal González, Luis
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Gaussian Integral Means of Entire Functions
, 2013 For an entire mapping $f:\mathbb C\mapsto\mathbb C$ and a triple $(p,\alpha, r)\in (0,\infty)\times(-\infty,\infty)\times(0,\infty]$, the Gaussian integral means of $f$ (with respect to the area measure $dA$) is defined by $$ {\mathsf M}_{p,\alpha}(f,r)=\
Wang, Chunjie, Xiao, Jie
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