Results 91 to 100 of about 18,386,226 (307)

Some Results on Composition of Analytic Functions in a Unit Polydisc

Universal Journal of Mathematics and Applications
The manuscript is an attempt to consider all methods which are applicable to investigation a directional index for composition of an analytic function in some domain and an entire function.
Petro Kurliak, Oleh Skaskiv, Andriy Bandura   +2 more
doaj   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

The description of entire solutions for some class of complex nonlinear partial differential equation (systems) in C2 ${\mathbb{C}}^{2}$

Demonstratio Mathematica
This article focuses on describing the entire solutions of complex nonlinear partial differential equation (systems) with two variables. Utilizing Nevanlinna theory along with the Hadamard factorization theory of meromorphic functions, we derive several ...
Chen Yu Bin, Jiao Xin, Xu Hong Yan
doaj   +1 more source

Composition of entire function and analytic functions in the unit ball with a vanished gradient

Математичні Студії
The composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj   +1 more source

Integration of circadian and hypoxia signaling via non‐canonical heterodimerization

FEBS Letters, EarlyView.
CLOCK, BMAL1, and HIFs are basic helix‐loop‐helix and Per‐Arnt‐Sim domain (bHLH‐PAS) proteins, which function as transcription factors. bHLH‐PAS proteins are designated in two classes. Many class I proteins are regulated by environmental signals via their PAS domains, but such signals have not been identified for all.
Sicong Wang, Katja A. Lamia
wiley   +1 more source

The description of entire solutions of complex PDEs and PDDEs

Demonstratio Mathematica
By utilizing the Hadamard factorization theory and Nevanlinna theory of meromorphic functions in Cn ${\mathbb{C}}^{n}$ , we mainly give some description of the solutions of complex partial differential equation (PDE) (auz1+buz2)(cuz1+duz2)=eg, $\left(a{u}
Wu Zhao Jun, Xu Hong Yan, Xuan Zu Xing
doaj   +1 more source

Function‐driven design of a surrogate interleukin‐2 receptor ligand

FEBS Letters, EarlyView.
Interleukin (IL)‐2 signaling can be achieved and precisely fine‐tuned through the affinity, distance, and orientation of the heterodimeric receptors with their ligands. We designed a biased IL‐2 surrogate ligand that selectively promotes effector T and natural killer cell activation and differentiation. Interleukin (IL) receptors play a pivotal role in
Ziwei Tang, Zelin Cheng, Teng Li, Fulian Wang, Liangminghui Zhang, Xiuxiu He, Lili Liu, Wei Wang, Aibin Liang, Guang Yang   +9 more
wiley   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

The growth of Weierstrass canonical products of genus zero with random zeros

Karpatsʹkì Matematičnì Publìkacìï, 2013
Let $zeta=(zeta_n)$ be a complex sequence of genus zero, $au$ be its exponent ofconvergence, $N(r)$ be its integrated counting function,$pi(z)=prodigl(1-frac{z}{zeta_n}igr)$ be the Weierstrass canonical product, and$M(r)$ be the maximum modulus of this ...
Yu. V. Zakharko, P. V. Filevych
doaj  

An entire function and its derivatives sharing a polynomial

, 2007
In this paper, we study the growth of solutions of a first-order linear differential equation and that of a second-order linear differential equation. From this we obtain some uniqueness theorems of a nonconstant entire function and its first derivative ...
Xiao-Min Li, H. Yi
semanticscholar   +1 more source