Results 101 to 110 of about 13,689,528 (374)

q-analytic functions, fractals and generalized analytic functions [PDF]

Journal of Physics A: Mathematical and Theoretical, 2014
We introduce a new class of complex functions of complex argument which we call q-analytic functions. These functions satisfy q-Cauchy–Riemann equations and have real and imaginary parts as q-harmonic functions. We show that q-analytic functions are not the analytic functions.
Pashaev, Oktay K., Nalci, Sengul
openaire   +4 more sources

Insights into PI3K/AKT signaling in B cell development and chronic lymphocytic leukemia

FEBS Letters, EarlyView.
This Review explores how the phosphoinositide 3‐kinase and protein kinase B pathway shapes B cell development and drives chronic lymphocytic leukemia, a common blood cancer. It examines how signaling levels affect disease progression, addresses treatment challenges, and introduces novel experimental strategies to improve therapies and patient outcomes.
Maike Buchner
wiley   +1 more source

On some geometric properties and Hardy class of q-Bessel functions

AIMS Mathematics, 2020
In this paper, we deal with some geometric properties including starlikeness and convexity of order α of Jackson’s second and third q-Bessel functions which are natural extensions of classical Bessel function Jν.
İbrahim Aktaş
doaj   +1 more source

Making tau amyloid models in vitro: a crucial and underestimated challenge

FEBS Letters, EarlyView.
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley   +1 more source

Weierstrass Analytic Functions

Mathematische Annalen, 1966
Weierstrass introduced a complete analytic function as a set consisting of a power series and all its analytic continuations. This definition — a fundamental expansion of Lagrange’s introduction of a function as a power series — was formany decades the only alternative to the classical introduction of functions as laws or rules associating or pairing ...
openaire   +2 more sources

The cytoskeletal control of B cell receptor and integrin signaling in normal B cells and chronic lymphocytic leukemia

FEBS Letters, EarlyView.
In lymphoid organs, antigen recognition and B cell receptor signaling rely on integrins and the cytoskeleton. Integrins act as mechanoreceptors, couple B cell receptor activation to cytoskeletal remodeling, and support immune synapse formation as well as antigen extraction.
Abhishek Pethe, Tanja Nicole Hartmann
wiley   +1 more source

ON EXTREMAL PROBLEMS IN TUBULAR DOMAINS OVER SYMMETRIC CONES

Проблемы анализа, 2014
We prove new sharp distance theorems for analytic spaces in tube domains over symmetric cones extending our pre-vious results in this direction.
R. F. Shamoyan, S. M. Kurilenko
doaj   +1 more source

A stepwise emergence of evolution in the RNA world

FEBS Letters, EarlyView.
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley   +1 more source

B cell mechanobiology in health and disease: emerging techniques and insights into therapeutic responses

FEBS Letters, EarlyView.
B cells sense external mechanical forces and convert them into biochemical signals through mechanotransduction. Understanding how malignant B cells respond to physical stimuli represents a groundbreaking area of research. This review examines the key mechano‐related molecules and pathways in B lymphocytes, highlights the most relevant techniques to ...
Marta Sampietro, Marco Cellani, Cristina Scielzo   +2 more
wiley   +1 more source

Multiplicity of a zero of an analytic function on a trajectory of a vector field [PDF]

, 1997
Let P(x) be a germ at the origin of an analytic function in C^n, where x = (x_1,..., x_n), and let \xi = \xi_1(x) d/dx_1 + ... + \xi_n(x) d/dx_n be a germ at the origin of an analytic vector field.
A. Gabrielov
semanticscholar   +1 more source