Results 111 to 120 of about 13,428,920 (391)

Beta-conjugates of real algebraic numbers as Puiseux expansions [PDF]

Integers (2011), 2011
The beta-conjugates of a base of numeration $\beta > 1$, $\beta$ being a Parry number, were introduced by Boyd, in the context of the R\'enyi-Parry dynamics of numeration system and the beta-transformation. These beta-conjugates are canonically associated with $\beta$. Let $\beta > 1$ be a real algebraic number.
arxiv  

Gabor frames for rational functions [PDF]

arXiv, 2021
We study the frame properties of the Gabor systems $$\mathfrak{G}(g;\alpha,\beta):=\{e^{2\pi i \beta m x}g(x-\alpha n)\}_{m,n\in\mathbb{Z}}.$$ In particular, we prove that for Herglotz windows $g$ such systems always form a frame for $L^2(\mathbb{R})$ if $\alpha,\beta>0$, $\alpha\beta\leq1$.
arxiv  

Refining the NaV1.7 pharmacophore of a class of venom‐derived peptide inhibitors via a combination of in silico screening and rational engineering

FEBS Letters, EarlyView.
Venom peptides have shown promise in treating pain. Our study uses computer screening to identify a peptide that targets a sodium channel (NaV1.7) linked to chronic pain. We produced the peptide in the laboratory and refined its design, advancing the search for innovative pain therapies.
Gagan Sharma, Jennifer R. Deuis, Xinying Jia, Theo Crawford, Sassan Rahnama, Eivind A. B. Undheim, Irina Vetter, Yanni K. ‐Y. Chin, Mehdi Mobli   +8 more
wiley   +1 more source

Logarithmic correction in the deformed AdS(5) model to produce the heavy quark potential and QCD beta function [PDF]

, 2010
We study the holographic QCD model, which contains a quadratic term -{sigma}z{sup 2} and a logarithmic term -c{sub 0}log[(z{sub IR}-z)/z{sub IR}] with an explicit infrared cutoff z{sub IR} in the deformed AdS{sub 5} warp factor.
Song He, Mei Huang, Q. Yan
semanticscholar   +1 more source

Extension of Euler's beta function

Journal of Computational and Applied Mathematics, 1997
AbstractAn extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the extension is connected to the Macdonald, error and Whittaker functions.
M. Rafique, M. Aslam Chaudhry, Syed M. Zubair, Asghar Qadir   +3 more
openaire   +2 more sources

The power of microRNA regulation—insights into immunity and metabolism

FEBS Letters, EarlyView.
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto, Nicola Manfrini, Stefano Biffo   +2 more
wiley   +1 more source

Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]

Sahand Communications in Mathematical Analysis
The generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function.  The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan, Dinesh Kumar, Kottakkaran Nisar   +2 more
doaj   +1 more source

Identification of novel small molecule inhibitors of ETS transcription factors

FEBS Letters, EarlyView.
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla, Zary Forghany, Jin Ma, Johan G. Hollander, Ruta Nachane, Karoly Szuhai, Pancras C. W. Hogendoorn, Peter ten Dijke, Dipen Shah, David A. Baker   +9 more
wiley   +1 more source

Classical special functions of matrix arguments

Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï
This article focuses on a few of the most commonly used special functions and their key properties and defines an analytical approach to building their matrix-variate counterparts.
Dmytro Shutiak, Gleb Podkolzin, Victor Bondarenko, Yury Chapovsky   +3 more
doaj   +1 more source

Generalized Bivariate Kummer-Beta Distribution

Ingeniería y Ciencia, 2020
A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and ...
Daya K. Nagar, Edwin Zarrazola, Jessica Serna-Morales   +2 more
doaj   +1 more source