Results 71 to 80 of about 360 (180)

An Algebraic Study of Parametric Stokes Phenomena

Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley   +1 more source

Electromagnetic Quasinormal Modes: A Foundational Framework for Describing Fano Resonances of Extinction Spectra

Nanophotonics, Volume 15, Issue 9, 13 May 2026.
An ab initio electromagnetic framework links quasinormal modes to Fano resonances in extinction spectra. Analytical expressions for the Fano asymmetry and intensity parameters are derived from overlap integrals, enabling rapid spectral reconstruction and physical interpretation.
Mikhail Bochkarev, Nikolay Solodovchenko, Kirill Samusev, Mikhail Limonov, Tong Wu, Philippe Lalanne   +5 more
wiley   +1 more source

Hankel Determinants of the Generalized Factorials

Indian Journal of Pure and Applied Mathematics, 2018
Denote 〈x|d〉 n = x(x + d)(x + 2d) · · · (x + (n - 1)d) for n = 1, 2, · · ·, and 〈x|d〉0 = 1, where 〈x|d〉 n is called the generalized factorial of x with increment d. In this paper, we present the evaluation of Hankel determinants of sequence of generalized factorials.
Sheng-Liang Yang, Yan-Ni Dong
openaire   +1 more source

Polaritonic Spectra of Optical Mie Voids

Nanophotonics, Volume 15, Issue 9, 13 May 2026.
Optical Mie voids have been shown to provide a versatile platform for polaritonic physics. Analytical and numerical analysis reveal how void resonances couple to excitonic media, enabling weak‐ and strong‐coupling regimes, polariton gaps, Q‐factor enhancement, and spatial mode localization.
Evgeny Ryabkov, Mingzhao Song, Andrey A. Bogdanov, Denis G. Baranov   +3 more
wiley   +1 more source

Fekete-Szegö and Hankel inequalities related to the sine function

Applied Mathematics in Science and Engineering
The Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are ...
Muhammad Ashfaq, Afis Saliu, Syed Zakar Hussain Bukhari, Issra Batool   +3 more
doaj   +1 more source

Development and implementation of a unified curriculum in math, statistics, computing, and informatics with financial considerations for medical physics graduate programs

Journal of Applied Clinical Medical Physics, Volume 27, Issue 5, May 2026.
Abstract Background AAPM Report No. 365 recommends that medical physics graduate programs offer courses covering both mathematical and statistical methods (Section 3.1.7) as well as computational methods and medical informatics (Section 3.1.8). While our program seeks to incorporate both of these essential areas into the curriculum, various financial ...
Jenghwa Chang, Marissa Joyce Vaccarelli
wiley   +1 more source

New Results for Some Generalizations of Starlike and Convex Functions

Journal of Function Spaces, 2020
The purpose of the current paper is to investigate several various problems for the categories STLs,SNe∗, and other related categories such as various new outcomes for the coefficients of f, together with majorization issues, the Hankel determinant, and ...
Ali Ebadian, Nafya Hameed Mohammed, Ebrahim Analouei Adegani, Teodor Bulboacă   +3 more
doaj   +1 more source

Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna

Advanced Functional Materials, Volume 36, Issue 38, 11 May 2026.
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz, Nicole Siegel, Guillermo Serrera, Javier González‐Colsa, Fangjia Zhu, Karol Kołątaj, Minoru Fujii, Hiroshi Sugimoto, Pablo Albella, Guillermo P. Acuna   +9 more
wiley   +1 more source

Hankel determinant for certain new classes of analytic functions associated the activation functions. [PDF]

Heliyon, 2023
Sun Y, Arif M, Ullah K, Shi L, Faisal MI.   +4 more
europepmc   +1 more source

Coefficient bounds for certain subclasses of starlike functions

Journal of Inequalities and Applications, 2019
The conjecture proposed by Raina and Sokòł [Hacet. J. Math. Stat. 44(6):1427–1433 (2015)] for a sharp upper bound on the fourth coefficient has been settled in this manuscript. An example is constructed to show that their conjectures for the bound on the
Nak Eun Cho, Virendra Kumar, Oh Sang Kwon, Young Jae Sim   +3 more
doaj   +1 more source