Results 91 to 100 of about 828 (215)

On tau functions associated with linear systems [PDF]

, 2012
\noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham, Gordon Blower, Newsham, Samantha, Blower, Gordon   +3 more
core  

An upper bound for third Hankel determinant of starlike functions related to shell-like curves connected with Fibonacci numbers

, 2018
We investigate the third Hankel determinant problem for some starlike functions in the open unit disc, that are related to shell-like curves and connected with Fibonacci numbers.
Sokół, J., İlhan, S., Güney, H. Ö.
core   +1 more source

Photonics of Topological Magnetic Textures

Advanced Optical Materials, Volume 14, Issue 13, 3 April 2026.
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri, Ramaz Khomeriki, Daniel Erni, Nicolas Tsagareli, Qian Li, Douglas H. Werner, Jamal Berakdar   +6 more
wiley   +1 more source

An note on the maximization of matrix valued Hankel determinants with application [PDF]

In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional ...
Dette, Holger, Studden, W. J.
core  

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

Identifying Out‐of‐Voxel Echoes in Edited MRS With Phase Cycle Inversion

Magnetic Resonance in Medicine, Volume 95, Issue 4, Page 1921-1933, April 2026.
ABSTRACT Purpose To identify the origin of out‐of‐voxel (OOV) signals based on the coherence transfer pathway (CTP) formalism using signal phase conferred by the acquisition phase cycling scheme. Knowing the CTP driving OOV artifacts enables optimization of crusher gradients to improve their suppression.
Zahra Shams, Abdelrahman Gad, Aaron T. Gudmundson, Saipavitra Murali‐Manohar, Christopher W. Davies‐Jenkins, Gizeaddis L. Simegn, Dunja Simicic, Yulu Song, Vivek Yedavalli, Helge J. Zöllner, Georg Oeltzschner, Dillip K. Senapati, Alfons Schnitzler, Peter B. Barker, Richard A. E. Edden   +14 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

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

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

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