Results 31 to 40 of about 801,465 (147)
A Note on Entire Functions That Share Two Small Functions
Abstract and Applied Analysis, 2014 This note is to show that if f is a nonconstant entire function that shares two pairs of small functions ignoring multiplicities with its first derivative f', then there exists a close linear relationship between f and f'. This result is a generalization
Jun-Fan Chen
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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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Entire functions, PT-symmetry and Voros’s quantization scheme
Математичні Студії, 2020 In this paper, A. Avila's theorem on convergence of the exact quantization scheme of A.~Vo\-ros is related to the reality proofs of eigenvalues of certain $PT$-symmetric boundary value problems. As a result, a special case of a conjecture of C. Bender, S.
A.E. Eremenko
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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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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 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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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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The Periodicity of Entire Functions with Finite Order
Journal of Mathematics, 2021 This paper is concerned with the periodicity of entire functions with finite growth order, and some sufficient conditions are given. Let f is a transcendental entire function with finite growth order, zero is a Picard exceptional value of f, and a given ...
Zhiguo Ren, Guoqiang Dang
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