Results 41 to 50 of about 164,716 (305)
New extension of beta, Gauss and confluent hypergeometric functions
There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar +1 more
doaj +1 more source
Polyharmonic systems involving critical nonlinearities with sign-changing weight functions
This article concerns the existence of multiple solutions of the polyharmonic system involving critical nonlinearities with sign-changing weight functions $$\displaylines{ (-\Delta)^mu = \lambda f(x) |u|^{r-2}u+ \frac{\beta}{\beta+\gamma} h(x ...
Anu Rani, Sarika Goyal
doaj
For odd $r\in \mathbb{N}$; $\alpha, \beta >0$; $p\in [1, \infty]$; $\delta \in (0, 2 \pi)$, any $2\pi$-periodic function $x\in L^r_{\infty}(I_{2\pi})$, $I_{2\pi}:=[0, 2\pi]$, and arbitrary measurable set $B \subset I_{2\pi},$ $\mu B \leqslant \delta ...
V.A. Kofanov, A.V. Zhuravel
doaj +1 more source
Some properties of Gamma and Beta matrix functions
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Jódar, L, Cortés, J.C
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Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Some Results on the Extended Hypergeometric Matrix Functions and Related Functions
In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions.
Mohamed Abdalla +2 more
doaj +1 more source
In this study, we present the structure of AcrIE8.1, a previously uncharacterized anti‐CRISPR protein that inhibits the type I‐E CRISPR‐Cas system. Through a combination of structural and biochemical analyses, we demonstrate that AcrIE8.1 directly binds to the Cas11 subunit of the Cascade complex to inhibit the CRISPR‐Cas system.
Young Woo Kang, Hyun Ho Park
wiley +1 more source
Neuronal activity in sensory and fronto-parietal (FP) areas underlies the representation and attentional control, respectively, of sensory information maintained in visual working memory (VWM).
Felix Siebenhühner +3 more
doaj +1 more source
Extended matrix variate gamma and beta functions
The paper presents preliminaries involving functions of an matrix argument in order to prepare an apparatus for a matrix variate distribution theory. As an illustration the probability density function of the sum in Theorem 6.1 is found. In Theorem 6.2 the expected value involving two independent random matrices is derived.
Nagar, Daya K. +2 more
openaire +2 more sources
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley +1 more source

