Results 91 to 100 of about 4,654,954 (329)
Entire functions sharing an entire function of smaller order with their shifts
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2013 We study the growth of solutions of a certain difference equations, and study the uniqueness question of entire functions of finite orders sharing an entire function of smaller order with their shifts. The uniqueness results in this paper also extend and improve Theorem 1 [11].
Li, Xiao-Min, Yang, Xiao, Yi, Hong-Xun
openaire +3 more sources
, 2018 We give a negative answer to the Newman--Shapiro problem on weighted approximation for entire functions formulated in 1966 and motivated by the theory of operators on the Fock space.
Belov, Yurii, Borichev, Alexander
core
FEBS Letters, EarlyView.The protonated form of butyrate, as well as other short‐chain fatty acids (SCFAs), is membrane permeable. In acidic extracellular environments, this can lead to intracellular accumulation of SCFAs and cytosolic acidification. This phenomenon will be particularly relevant in acidic environments such as the large intestine or tumor microenvironments ...
Muwei Jiang +2 more
wiley +1 more source
A stepwise emergence of evolution in the RNA world
FEBS Letters, EarlyView.How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
Multivalence of bivariate functions of bounded index
Le Matematiche, 2015 This paper examines the relationship between the concept of bounded index and the radius of equivalence, respectively p-valence, of entire bivariate functions and their partial derivatives at arbitrary points in C^2.
Fatih Nuray, Richard F. Patterson
doaj
FEBS Letters, EarlyView.The enzyme 5‐lipoxygenase (5‐LOX) catalyzes the first step in the biosynthesis of leukotrienes (LTs) involved in inflammatory pathophysiology. After cellular stimulation, 5‐LOX translocates to the nucleus, interacting with the 5‐LOX‐activating protein (FLAP) to form LTA4 from arachidonic acid (AA).
Erik Romp +5 more
wiley +1 more source
The uniqueness of an entire function sharing a small entire function with its derivatives
Journal of Mathematical Analysis and Applications, 2009 AbstractIn this paper, we prove a theorem on the growth of a solution of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its derivatives sharing a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results
Jun Wang, Xiao-Min Li
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Brucella NyxA and NyxB dimerization enhances effector function during infection
FEBS Letters, EarlyView.Brucella abortus thrives inside cells thanks to the translocation of effector proteins that fine‐tune cellular functions. NyxA and NyxB are two effectors that destabilize the nucleolar localization of their host target, SENP3. We show that the Nyx proteins directly interact with each other and that their dimerization is essential for their function ...
Lison Cancade‐Veyre +4 more
wiley +1 more source
Growth of solutions of higher-order linear differential equations
Electronic Journal of Differential Equations, 2010 In this article, we study the growth of solutions of the linear differential equation $$ f^{(k)}+(A_{k-1}(z)e^{P_{k-1}(z)}+B_{k-1}(z)) f^{(k-1)}+dots +(A_0(z)e^{P_0(z)}+B_0(z))f=0, $$ where $kgeq 2$ is an integer, $P_j(z)$ are nonconstant ...
Karima Hamani
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