Results 41 to 50 of about 1,435,629 (148)

Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions

Journal of Inequalities and Applications
Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article.
H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin   +5 more
doaj   +1 more source

Faber Polynomial Coefficient Estimates of m-Fold Symmetric Bi-Univalent Functions with Bounded Boundary Rotation

Mathematics
In the current article, we introduce several new subclasses of m-fold symmetric analytic and bi-univalent functions associated with bounded boundary and bounded radius rotation within the open unit disk D.
Anandan Murugan, Srikandan Sivasubramanian, Prathviraj Sharma, Gangadharan Murugusundaramoorthy   +3 more
doaj   +1 more source

On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials

The Ramanujan Journal
In this paper, we consider the Atkin-like polynomials that appeared in the study of normalized extremal quasimodular forms of depth 1 on $SL_{2}(\mathbb{Z})$ by Kaneko and Koike as orthogonal polynomials and clarify their properties. By considering Atkin-like polynomials in terms of orthogonal polynomials, we prove an unexpected connection between ...
openaire   +2 more sources

Traceable Refractive Index Measurements of Liquids to Standardize Extracellular Vesicle Flow Cytometry

Cytometry Part A, Volume 109, Issue 2, Page 115-123, February 2026.
ABSTRACT Extracellular vesicles (EVs) are potential disease biomarkers released by cells into body fluids. Flow cytometers measure EV concentrations within their size detection range. These size ranges can be quantified by relating the arbitrary units of measured light scattering signals to the optical diameter of EVs with Mie theory.
Martine Kuiper, Richard Koops, Rienk Nieuwland, Ton G. van Leeuwen, Edwin van der Pol   +4 more
wiley   +1 more source

High‐Speed Interferometric Scattering Tracking Microscopy of Compartmentalized Lipid Diffusion in Living Cells

ChemPhysChem, Volume 26, Issue 21, November 5, 2025.
Scheme for the labeling of the cell membrane. The scattering tags, gold nanoparticles of two different diameters (Ø20 nm and Ø40 nm), target the biotinylated lipids inserted in the cellular membrane, owing to their streptavidin coating. The possible, although not certain, effects of cross‐linking are also highlighted (dashed line).
Francesco Reina, Christian Eggeling, Christoffer Lagerholm   +2 more
wiley   +1 more source

Machine‐learning‐assisted photonic device development: a multiscale approach from theory to characterization

Nanophotonics, Volume 14, Issue 23, Page 3761-3793, 02 November 2025.
Abstract Photonic device development (PDD) has achieved remarkable success in designing and implementing new devices for controlling light across various wavelengths, scales, and applications, including telecommunications, imaging, sensing, and quantum information processing.
Yuheng Chen, Alexander Montes McNeil, Taehyuk Park, Blake A. Wilson, Vaishnavi Iyer, Michael Bezick, Jae‐Ik Choi, Rohan Ojha, Pravin Mahendran, Daksh Kumar Singh, Geetika Chitturi, Peigang Chen, Trang Do, Alexander V. Kildishev, Vladimir M. Shalaev, Michael Moebius, Wenshan Cai, Yongmin Liu, Alexandra Boltasseva   +18 more
wiley   +1 more source

Rapid Discovery of Sequence‐Encoded Magnetically Reconfigurable Microrobots Using Monte Carlo Simulations

Advanced Intelligent Systems, Volume 7, Issue 11, November 2025.
A Monte Carlo simulation framework is introduced to predict the folding behavior of sequence‐encoded magnetic microrobots, enabling systematic exploration of their design space. By mapping key metrics such as radius of gyration and symmetry, the framework identifies functional sequences and predicts actuation behaviors.
Collin C. Kemper, Kendra M. Kreienbrink, Hayden J. Tomazin, Kaleb E. Hawkins, Daniel K. Schwartz, C. Wyatt Shields IV   +5 more
wiley   +1 more source

Solution of polynomial Lyapunov and Sylvester equations

, 2006
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equations is proposed. Lifting the problem from the one-variable to the two-variable context gives rise to associated lifted equations which live on finite ...
Peeters, Ralf, Rapisarda, Paolo
core   +1 more source

Inclusion properties for bi-univalent functions of complex order defined by combining of Faber polynomial expansions and Fibonacci numbers

, 2019
In this present investigation, we introduce the new class R of bi-univalent functions defined by using the Tremblay fractional derivative operator. Additionally, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general coefficient an of the bi-univalent function class.
Yalçın Tokgöz, Sibel, Jahangırı, Jay M, Hamıdı, Samaneh G, Altınkaya, Şahsene   +3 more
openaire   +3 more sources

Exploring the Impacts of Spatial Contexts on the Life Course Trajectory Status of Vulnerability

Geographical Analysis, Volume 57, Issue 4, Page 641-661, October 2025.
ABSTRACT The aim of this study is to investigate in what ways the spatial context matters for the life course trajectory status in terms of vulnerability. In particular, it explores the impacts of spatial contexts aggregated from life course trajectories.
Eva K. Andersson
wiley   +1 more source