Results 41 to 50 of about 52,742 (268)

Classes of Meromorphic Functions Defined by the Hadamard Product

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution).
J. Dziok
doaj   +1 more source

Sharp $L^1$ Inequalities for Sup-Convolution

open access: yesDiscrete Analysis, 2023
Sharp $L^1$ Inequalities for Sup-Convolution, Discrete Analysis 2023:7, 16 pp. Let $f$ and $g$ be two real-valued functions defined on a compact convex subset $C$ of $\mathbb R^k$.
Hunter Spink   +2 more
doaj   +1 more source

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

open access: yesFEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva   +5 more
wiley   +1 more source

Characterizing the salivary RNA landscape to identify potential diagnostic, prognostic, and follow‐up biomarkers for breast cancer

open access: yesMolecular Oncology, EarlyView.
This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan   +9 more
wiley   +1 more source

The second moment of twisted modular L-functions

open access: yes, 2014
We prove an asymptotic formula with a power saving error term for the (pure or mixed) second moment of central values of L-functions of any two (possibly equal) fixed cusp forms f, g twisted by all primitive characters modulo q, valid for all ...
Blomer, Valentin, Milićević, Djordje
core   +1 more source

Modeling hepatic fibrosis in TP53 knockout iPSC‐derived human liver organoids

open access: yesMolecular Oncology, EarlyView.
This study developed iPSC‐derived human liver organoids with TP53 gene knockout to model human liver fibrosis. These organoids showed elevated myofibroblast activation, early disease markers, and advanced fibrotic hallmarks. The use of profibrotic differentiation medium further amplified the fibrotic signature seen in the organoids.
Mustafa Karabicici   +8 more
wiley   +1 more source

Weighted Sum of Correlated Lognormals: Convolution Integral Solution [PDF]

open access: yes, 2011
Probability density function (pdf) for sum of n correlated lognormal variables is deducted as a special convolution integral. Pdf for weighted sums (where weights can be any real numbers) is also presented.
Nagy, Tamás
core  

An inequality for the distance between densities of free convolutions

open access: yes, 2013
This paper contributes to the study of the free additive convolution of probability measures. It shows that under some conditions, if measures $\mu_i$ and $\nu_i, i=1,2$, are close to each other in terms of the L\'{e}vy metric and if the free convolution
Kargin, V.
core   +1 more source

A synthetic benzoxazine dimer derivative targets c‐Myc to inhibit colorectal cancer progression

open access: yesMolecular Oncology, EarlyView.
Benzoxazine dimer derivatives bind to the bHLH‐LZ region of c‐Myc, disrupting c‐Myc/MAX complexes, which are evaluated from SAR analysis. This increases ubiquitination and reduces cellular c‐Myc. Impairing DNA repair mechanisms is shown through proteomic analysis.
Nicharat Sriratanasak   +8 more
wiley   +1 more source

Shifted convolution sums for $GL(3)\times GL(2)$

open access: yes, 2012
For the shifted convolution sum $$ D_h(X)=\sum_{m=1}^\infty\lambda_1(1,m)\lambda_2(m+h)V(\frac{m}{X}) $$ where $\lambda_1(1,m)$ are the Fourier coefficients of a $SL(3,\mathbb Z)$ Maass form $\pi_1$, and $\lambda_2(m)$ are those of a $SL(2,\mathbb Z ...
Munshi, Ritabrata
core   +1 more source

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