Results 91 to 100 of about 166,067,780 (284)

Approximation of entire functions of slow growth on compact sets [PDF]

, 1981
summary:In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of ...
Kapoor, G.P., Kumar, Susheel, Srivastava, G. S., Nautiyal, A.   +3 more
core   +1 more source

Hilbert Space of Complex-ValuedHarmonic Functions in the Unit Disc

East African Journal of Biophysical and Computational Sciences
The study investigated an extended version of Hilbert space of analytic functions called Hilbert space of complex-valued harmonic functions. It is found that functions in Hilbert space of complex-valued harmonic functions exhibit many properties ...
Tseganesh Getachew Gebrehana, Hunduma Legesse Geleta   +1 more
doaj   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

FEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj, Carolina Vazquez Garzon, Jose Joaquin Velasco, Janine N. Post   +3 more
wiley   +1 more source

Certain Subclasses of Analytic Functions with Fixed Argument of Coefficients Involving the Wright's Function

, 2015
[[abstract]]By using Wright’s generalized hypergeometric function, this paper introduces a new class of analytic functions with fixed argument of coefficients satisfying a certain subordination relation.
R. K. Raina
core  

A Restarted Lanczos Approximation to Functions of a Symmetric Matrix [PDF]

, 2010
In this paper, we investigate a method for\ud restarting the Lanczos method for approximating the matrix-vector\ud product *f(A)b*, where *A ∈ ℝn×n* is a\ud symmetric matrix.
Simpson, Daniel P., Ilic, Milos, Turner, Ian W.   +2 more
core   +1 more source

Joint approximation of analytic functions by the shifts of Hurwitz zeta-functions in short intervals

Open Mathematics
In the article, we obtain that, for algebraically independent over Q{\mathbb{Q}} parameters α1,…,αr{\alpha }_{1},\ldots ,{\alpha }_{r}, there are infinitely many shifts (ζ(s+iτ,α1),…,ζ(s+iτ,αr))\left(\zeta \left(s+i\tau ,{\alpha }_{1}),\ldots ,\zeta ...
Laurinčikas Antanas, Šiaučiūnas Darius   +1 more
doaj   +1 more source

On Certain Polynomial and Other Approximations to Analytic Functions [PDF]

Proceedings of the National Academy of Sciences, 1930
1. The Lagrange interpolation polynomials. This paper deals largely with certain polynomial approximations to analytic functions of a complex variable, that are somewhat analogous to the Lagrange interpolation polynomials. The latter, it will be recalled, are defined as follows: Given an analytic function f(z) of the complex variable z, and a set of n ...
openaire   +3 more sources

An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes

FEBS Letters, EarlyView.
GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg, Martine Hjeltnes, Josephine Krieger, Joshua E. Elias, Maria Stensland, Kristian Holm, Xiaojun Jiang, Chuki Khangsar, Tuula A. Nyman, Arthur Kaser, Johannes R. Hov, Tom H. Karlsen, Nicole C. Kaneider, Frode L. Jahnsen, Georg Schneditz   +14 more
wiley   +1 more source

Autophagy and mitophagy in pancreatic β‐cell homeostasis and their involvement in diabetes pathophysiology

FEBS Letters, EarlyView.
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee, Mingming Tong, Anna L. Gloyn   +2 more
wiley   +1 more source

On the Classes of Analytic Functions Defined by Using Al-Oboudi Operator

, 2012
[[abstract]]In this note, we define the new subclasses Nm,n(α, β, λ) and (The Symbol is abbreviated),n(α, β, λ) of analytic functions using the Al - Oboudi operator.
Hesam Mahzoon, S. Latha
core