Results 71 to 80 of about 5,232 (228)

Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function [PDF]

Sahand Communications in Mathematical Analysis
Hermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists
Sangarambadi Padmanabhan Vijayalakshmi, Sibel Yalçın, Tirumalai Sudharsan   +2 more
doaj   +1 more source

Fundamentals of Deep‐Subwavelength Near‐Field Imaging With Hyperbolic Polaritons

Nanophotonics, Volume 15, Issue 8, 24 April 2026.
Hyperbolic polaritons enable deep‐subwavelength near‐field imaging. This work reveals the intrinsic resolution limit of polaritonic imaging by linking it to the linewidth of hyperbolic polariton beams. A negative‐refraction‐based strategy is proposed to achieve scale fidelity under appropriate thickness configurations and to mitigate geometrical ...
Tianran Yu, Zhenyang Cui, Sihao Xia, Zhiwei He, Huaping Wang, Lian Shen, Hongsheng Chen, Yingjie Wu   +7 more
wiley   +1 more source

On Hankel and Inverse Hankel Determinants of Order Two for Some Subclasses of Analytic Functions [PDF]

, 2023
Nehad Ali Shah, Nasser Bin Turki, S.-H. Lee, Seonhui Kang, Jae Dong Chung   +4 more
openalex   +1 more source

Hankel Determinants of q-Stirling Numbers

The Electronic Journal of Combinatorics
In this paper, we consider the q-analogue of the Hankel determinants of the Bell numbers and give combinatorial proofs of these results. We show that the Hankel determinants of the q-Stirling numbers can be simplified to a determinant that is almost upper-triangular, and then construct sign-reversing involutions on certain sets of RG-words that
Cai, Yue, Yang, Ting
openaire   +2 more sources

Non‐Markovian Exceptional Points in Waveguide Quantum Electrodynamics

Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.
Non‐Markovian waveguide‐QED systems exhibit dynamical transitions governed by exceptional points arising from retardation and interference. Giant atoms and spatially separated emitters display oscillatory relaxation and real zeros in the excited‐state amplitude at critical delay times.
Stefano Longhi
wiley   +1 more source

Measurement of Phase Velocity and Ellipticity of Multi‐Mode Surface Waves by Beamforming Multi‐Component Ambient Seismic Noise

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 4, April 2026.
Abstract Conventional beamforming of multi‐component ambient seismic noise typically utilizes only the vertical‐vertical (ZZ) component to extract Rayleigh wave dispersion curves or the transverse‐transverse (TT) component for Love waves. In this study, we extend weighted and modified beamforming to cross‐correlation functions between different ...
Tongwei Qin, Youyuan Zhang, Shanshan Jia, Laiyu Lu   +3 more
wiley   +1 more source

Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha [PDF]

, 2021
Bogumiła Kowalczyk, Adam Lecko
openalex   +1 more source

An Effective Physics‐Informed Neural Operator Framework for Predicting Wavefields

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.
Abstract Solving the wave equation is fundamental for many geophysical applications. However, numerical solutions of the Helmholtz equation face significant computational and memory challenges. Therefore, we introduce a physics‐informed convolutional neural operator (CNO) (PICNO) to solve the Helmholtz equation efficiently.
X. Ma, T. Alkhalifah
wiley   +1 more source

A fractional residue theorem and its applications in calculating real integrals

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley   +1 more source

A Study on the k-Mersenne and k-Mersenne-Lucas Sequences

Universal Journal of Mathematics and Applications
In this study, we examine an application of $k-$Mersenne and $k-$Mersenne-Lucas sequences. We present the Catalan transforms of these sequences and give the properties of these Catalan transforms. Catalan transforms of $k-$Mersenne and $k-$Mersenne-Lucas
Mine Uysal, Hakan Akkuş, Bayram Şen, Engin Özkan   +3 more
doaj   +1 more source