Results 51 to 60 of about 36,653 (283)

HARMONIC MAPPINGS WITH THE FIXED ANALYTIC PART

Проблемы анализа, 2021
In this article, we consider a class of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters.
Rajbala, Jugal K. Prajapat
doaj   +1 more source

Lengths, areas and Lipschitz-type spaces of planar harmonic mappings [PDF]

, 2013
In this paper, we establish a three circles type theorem, involving the harmonic area function, for harmonic mappings. Also, we give bounds for length and area distortion for harmonic quasiconformal mappings. Finally, we will study certain Lipschitz-type
Chen, Shaolin, Ponnusamy, Saminathan, Rasila, Antti   +2 more
core  

On the Generalized of p-harmonic Maps

International Electronic Journal of Geometry, 2022
In this paper, we extend the definition of p-harmonic and p-biharmonic maps between Riemannian manifolds. We present some new properties for the generalized stable p-harmonic maps.
Merdji, Bouchra, Cherif, Ahmed Mohammed
openaire   +4 more sources

Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining

Molecular Oncology, EarlyView.
IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis, Jack V. Mills, Wojciech Niedzwiedz, Valentine M. Macaulay   +3 more
wiley   +1 more source

On quasiconformal extension of harmonic mappings with nonzero pole

Comptes Rendus. Mathématique
Let $\Sigma _H^k(p)$ be the class of sense-preserving univalent harmonic mappings defined on the open unit disk $\mathbb{D}$ of the complex plane with a simple pole at $z=p \in (0,1)$ that have $k$-quasiconformal extensions ($0\le ...
Bhowmik, Bappaditya, Satpati, Goutam
doaj   +1 more source

A Family of Minimal Surfaces and Univalent Planar Harmonic Mappings

Abstract and Applied Analysis, 2014
We present a two-parameter family of minimal surfaces constructed by lifting a family of planar harmonic mappings. In the process, we use the Clunie and Sheil-Small shear construction for planar harmonic mappings convex in one direction.
Michael Dorff, Stacey Muir
doaj   +1 more source

Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk [PDF]

, 2014
In this paper, we will give Schwarz-Pick type estimates of arbitrary order partial derivatives for bounded pluriharmonic mappings defined in the unit polydisk.
Chen, Shaolin, Rasila, Antti
core  

Invertible harmonic mappings, beyond Kneser

, 2008
We prove necessary and sufficient criteria of invertibility for planar harmonic mappings which generalize a classical result of H. Kneser, also known as the Rad\'{o}-Kneser-Choquet theorem.Comment: One section added.
Alessandrini, Giovanni, Nesi, Vincenzo
core   +1 more source

Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae

FEBS Open Bio, EarlyView.
Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj, Eline M. F. de Lange, Klaas A. Sjollema, Ben N. G. Giepmans   +3 more
wiley   +1 more source

On the theorem of wan for K-quasiconformal hyperbolic harmonic self mappings of the unit disk [PDF]

Mathematica Moravica, 2015
We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipschicity of the K-quasiconformal, K ≥ 1, hyperbolic harmonic mappings of the unit disk D onto itself.
Knežević Miljan
doaj