Results 41 to 50 of about 1,124 (219)

On Coefficient Inequalities of Starlike Functions Related to the q-Analog of Cosine Functions Defined by the Fractional q-Differential Operator

Fractal and Fractional, 2023
This article extends the study of q-versions of analytic functions by introducing and studying the association of starlike functions with trigonometric cosine functions, both defined in their q-versions.
Yusra Taj, Sarfraz Nawaz Malik, Adriana Cătaş, Jong-Suk Ro, Fairouz Tchier, Ferdous M. O. Tawfiq   +5 more
doaj   +1 more source

Hankel determinants of the Cantor sequence [PDF]

SCIENTIA SINICA Mathematica, 2014
In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the help of the Hankel determinants, we prove that the irrationality exponent of the Cantor number, i.e.
Wen, Zhi-xiong, Wu, Wen
openaire   +2 more sources

Photonics of Topological Magnetic Textures

Advanced Optical Materials, EarlyView.
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

Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective

Advanced Electronic Materials, EarlyView.
Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe, Ivan Iudice, Giuseppe Castaldi, Marco Di Renzo, Vincenzo Galdi   +4 more
wiley   +1 more source

Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows

Special Matrices, 2019
In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun, Jiang Xiaoyu, Jiang Zhaolin   +2 more
doaj   +1 more source

The Hankel Determinants from a Singularly Perturbed Jacobi Weight

Mathematics, 2021
We study the Hankel determinant generated by a singularly perturbed Jacobi weight w(x,s):=(1−x)α(1+x)βe−s1−x,x∈[−1,1],α>0,β>0s≥0. If s=0, it is reduced to the classical Jacobi weight.
Pengju Han, Yang Chen
doaj   +1 more source

Implicit Third‐Order Peer Triplets with Variable Stepsizes for Gradient‐Based Solutions in Large‐Scale ODE‐Constrained Optimal Control

Optimal Control Applications and Methods, EarlyView.
Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
wiley   +1 more source

Perturbed Hankel determinant, correlation functions and Painlevé equations [PDF]

Journal of Mathematical Physics, 2016
In this paper, we continue with the study of the Hankel determinant, generated by a Pollaczek-Jacobi type weight, w(x; t, α, β) ≔ xα(1 − x)βe−t/x, x ∈ [0, 1], α > 0, β > 0, t ≥ 0. This reduces to the “pure” Jacobi weight at t = 0. It was shown in the work of Chen and Dai [J.
Chen, Min, Chen, Yang, Fan, Engui
openaire   +3 more sources

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 and Toeplitz Determinants for q-Starlike Functions Involving a q-Analog Integral Operator and q-Exponential Function

Journal of Function Spaces
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim   +2 more
doaj   +1 more source