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Complex small entire functions
Mathematics OpenSmall functions were defined in complex analysis together with the notions of order of growth, lower order of growth, type of growth and lower type of growth. The set of small entire functions with respect to an entire function f is a [Formula: see text]-
Alain Escassut
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ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR [PDF]
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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Entire functions sharing small functions with their difference operators
Electronic Journal of Differential Equations, 2015 We study the uniqueness for entire functions that share small functions of finite order with difference operators applied to the entire functions. In particular, we generalize of a result in [2].
Zinelaabidine Latreuch +2 more
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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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On the Growth of Iterated Entire Functions
International Journal of Analysis and Applications, 2013 We consider iteration of two entire functions of (p , q)-order and study some growth properties of iterated entire functions to generalise some earlier results.
Dibyendu Banerjee, Nilkanta Mondal
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Entropy of transcendental entire functions [PDF]
, 2021 We prove that all transcendental entire functions have infinite topological ...
Peters, H. +5 more
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Approximation of entire functions of slow growth on compact sets [PDF]
, 2009 summary:In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of ...
Kumar, Susheel, Srivastava, G. S.
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Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts [PDF]
, 2012 We study the uniqueness problems on entire functions and their difference operators or shifts. Our main result is a difference analogue of a result of Jank-Mues-Volkmann, which is concerned with the uniqueness of the entire function sharing one finite ...
Sheng Li +3 more
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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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On periodicity of entire functions [PDF]
Proceedings of the American Mathematical Society, 1974 A sequence S = { s n
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