Results 51 to 60 of about 47,854 (237)

Mathieu functions and its useful approximation for elliptical waveguides

EPJ Web of Conferences, 2017
The standard form of the Mathieu differential equation is d2ydη2+(a−2qcos2η)y=0 where a and q are real parameters and q > 0. In this paper we obtain closed formula for the generic term of expansions of modified Mathieu functions in terms of Bessel and ...
Pillay Shamini, Kumar Deepak
doaj   +1 more source

Testing and Simulation of Multilayer Polyvinylidene Fluoride‐Based Piezoelectric Energy Harvester Devices

Advanced Materials Technologies, EarlyView.
The study considers the use of polymer/dielectric‐based multilayers piezoelectric Energy Harvesters (EH) to produce an output voltage and current, by exploiting the mechanical energy provided by human organs movements. In particular, the heart motion is considered from the kinematic viewpoint, and a multiphysics theoretical model is developed to assess
Hamdi Ezzin, Silvia Monchetti, Paolo Emilio Puddu, Luciano Teresi, Antonio DeSimone, Roberto Brighenti   +5 more
wiley   +1 more source

New Fractional Estimates of Simpson-Mercer Type for Twice Differentiable Mappings Pertaining to Mittag-Leffler Kernel

Journal of Function Spaces, 2022
The main motivation of this study is to introduce a novel auxiliary result of Simpson’s formula by employing the Mercer scheme for twice differentiable functions involving the Atangana-Baleanu (AB) fractional integral operator concerned with the Mittag ...
Saad Ihsan Butt, Saima Rashid, Iram Javed, Khuram Ali Khan, Rostin Matendo Mabela   +4 more
doaj   +1 more source

Neural Fields for Highly Accelerated 2D Cine Phase Contrast MRI

Advanced Science, EarlyView.
ABSTRACT 2D cine phase contrast (CPC) MRI provides quantitative information on blood velocity and flow within the human vasculature. However, data acquisition is time‐consuming, motivating the reconstruction of the velocity field from undersampled measurements to reduce scan times. In this work, neural fields are proposed as a continuous spatiotemporal
Pablo Arratia, Martin J. Graves, Mary McLean, Carolin Pirkl, Carola‐Bibiane Schönlieb, Timo Schirmer, Florian Wiesinger, Matthias J. Ehrhardt   +7 more
wiley   +1 more source

Certain results associated with q-Agarwal fractional integral operators and a q-class of special functions

Arab Journal of Basic and Applied Sciences
This article investigates certain q-analogue of the fractional Agarwal integral operator and its application to a class of polynomials and a series of functions. By utilizing various types of q-Bessel functions, the fractional q-Agarwal integral has been
Shrideh Al-Omari
doaj   +1 more source

Compact Tabletop Magnetic Resonance Elastography for Mapping Soft Tissue Viscoelasticity

Advanced Science, EarlyView.
This work introduces a compact, low‐cost tabletop magnetic resonance elastography platform for high‐resolution viscoelastic mapping in soft‐tissue specimens. Using this method in human colorectal liver metastases, we demonstrate fully automated biomechanical profiling of treatment response and show that heterogeneity‐based metrics outperform ...
Weijie Zhao, Lisa‐Marie Skrip, Heiko Tzschätzsch, Tom Meyer, Hossein S. Aghamiry, Alexander Arnold, Lene Änne Böhne, Jakob Jordan, Oliver Boehm, Agnes K. Boehm, Steffen Görner, Jakob Schattenfroh, Yanglei Wu, Pedro Augusto Dantas de Moraes, Johann Pratschke, Jürgen Braun, Igor M. Sauer, Jing Guo, Ingolf Sack, Karl H. Hillebrandt   +19 more
wiley   +1 more source

Sur les fonctions q-Bessel de Jackson [PDF]

, 2003
(About Jackson q-Bessel functions)Laplace transform allows to resolve differential equations in the neighborhood of an irregular singular point. The purpose of the article is to study how to apply a basic Borel–Laplace transformation to q-difference ...
Zhang, Changgui
core   +1 more source

Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function

Fractal and Fractional, 2022
The comprehension of inequalities in convexity is very important for fractional calculus and its effectiveness in many applied sciences. In this article, we handle a novel investigation that depends on the Hermite–Hadamard-type inequalities concerning a ...
Soubhagya Kumar Sahoo, Muhammad Tariq, Hijaz Ahmad, Bibhakar Kodamasingh, Asif Ali Shaikh, Thongchai Botmart, Mohammed A. El-Shorbagy   +6 more
doaj   +1 more source

Extreme‐Thickness Meta‐Membrane for Controlling Terahertz Vectorial Beams

Advanced Science, EarlyView.
We propose ultra‐thin (λ/30) transmissive terahertz metasurfaces combining near‐field resonant and detour phases in coupled‐slit meta‐atoms, enabling continuous phase and polarization control beyond conventional designs. Based on leaky‐mode theory, scalar and vectorial terahertz Bessel beams at 0.39 THz are experimentally demonstrated, with ...
Yufei Song, Yixiang Xu, Yikai Xu, Yuanxi Liu, Shaojie Ma, Qiong He, Zhuo Wang, Lei Zhou   +7 more
wiley   +1 more source

The method of finite-product extraction and an application to Wiener-Hopf theory [PDF]

, 2011
Copyright @ The Author, 2011. The publisher version of the article can be accessed at the link below.In this work we describe a simple method for finding approximate representations for special functions which are entire transcendental functions that can
Rawlins, AD, A. D. Rawlins
core   +1 more source