Results 71 to 80 of about 12,103,103 (313)
On some integrals of products of cylindrical functions
Физика волновых процессов и радиотехнические системы, 2019 For a number of solutions to problems of a multilayer optical fiber, the field of which in each layer is described by the sum of the corresponding Bessel functions, integrals of the products of these functions are of interest.
V.A. Burdin
doaj +1 more source
The radius of convexity of normalized Bessel functions [PDF]
, 2015 The radius of convexity of two normalized Bessel functions of the first kind are determined in the case when the order is between -2 and -1. Our methods include the minimum principle for harmonic functions, the Hadamard factorization of some Dini ...
Á. Baricz, R. Szász
semanticscholar +1 more source
LLM‐Integrated Human–Robot Interaction System for Microrobots
Advanced Robotics Research, EarlyView.This paper proposes an LLM‐based control framework for guiding microrobots using human natural language. This framework can convert the natural human speech into safe and executable command sets for reliable navigation in complex environments. The experimental results show high accuracy and robustness in task performance, demonstrating the potential of
Bairong Zhu, Amar Salehi, Tingting Yu
wiley +1 more source
Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials with applications to series involving zeros of Bessel functions [PDF]
, 2018 We introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line.
Pérez, Mario +11 more
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Journal of Electronic Science and TechnologyThe spherically layered media theory has wide applications for electromagnetic wave scattering analysis. Due to the involved Bessel functions, the conventional formulations of the spherically layered media theory suffer from numerical overflow or ...
Jia-Hui Wang, Bo O. Zhu
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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 +7 more
wiley +1 more source
Van der Corput inequalities for Bessel functions [PDF]
, 2014 In this note, we offer some log-concavity properties of certain functions related to Bessel functions of the first kind and modified Bessel functions of the first and second kinds, by solving partially a recent conjecture on the log-convexity/log ...
Baricz, Árpád +2 more
core +1 more source
$q$-Bessel Functions and Rogers-Ramanujan Type Identities [PDF]
, 2015 We evaluate $q$-Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the $m$-version of the Rogers-Ramanujan identities.
M. Ismail, Ruiming Zhang
semanticscholar +1 more source
Bessel functions and local converse conjecture of Jacquet [PDF]
Journal of the European Mathematical Society (Print), 2014 In this paper, we prove the local converse conjecture of Jacquet over p-adic fields for GL(n) using Bessel functions.
Jingsong Chai
semanticscholar +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 +19 more
wiley +1 more source