Results 111 to 120 of about 47,854 (237)

Electromagnetic trapped modes in ensembles of dielectric particles: Concept and perspectives [PDF]

APL Photonics
Electromagnetic trapped modes are finite-energy, non-radiating solutions of Maxwell’s equations whose eigenfrequencies lie within the continuous spectrum of propagating waves.
Vladimir R. Tuz, Andrey B. Evlyukhin
doaj   +1 more source

\(q\)-Bessel functions: The point of view of the generating function method

Rendiconti di Matematica e delle Sue Applicazioni, 1997
Generating functions are introduced for several types of the so-called \(q\)-Bessel functions, from which certain properties of these functions are studied. Also, alternative forms of \(q\)-Hermite polynomials are introduced. Graphs are presented for comparing the \(q\)-Bessel functions with the ordinary Bessel functions.
G. Dattoli, A. Torre
openaire   +2 more sources

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

Mathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source

A fourth-order Bessel fitting method for the numerical solution of the Schrödinger equation [PDF]

, 1992
A new fourth-order method is developed for the numerical integration of the one-dimensional radial Schrödinger equation. This method integrates Bessel and Neumann functions exactly.
A.D. Raptis, T.E. Simos, Raptis, AD, Simos, T.E., Simos, TE, Raptis, A.D.   +5 more
core   +1 more source

Asymptotic Expansions for the Radii of Starlikeness of Normalized q-Bessel Functions

Results in Mathematics
AbstractIn this paper we study the asymptotic behavior of the radii of starlikeness of the normalized Jackson’s second and third q-Bessel functions, focusing on their large orders. To achieve this, we use the Rayleigh sums of positive zeros of both q-Bessel functions, and determine the coefficients of the asymptotic expansions.
Baricz, Árpád, Kumar, Pranav, Singh, Sanjeev   +2 more
openaire   +2 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Operator-valued Bessel functions, holomorphic discrete series, and harmonic representations of U(p, q) [PDF]

, 1992
This paper presents representation-theoretic applications of the theory of operator-valued Bessel functions, which was developed in the first paper of this series.
Ding, Hongming
core   +1 more source

The Fourier Transform on Quantum Euclidean Space

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Kevin Coulembier
doaj   +1 more source

Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley   +1 more source

Monotonicity of the ratio of modified Bessel functions of the first kind with applications

Journal of Inequalities and Applications, 2018
Let Wv(x)=xIv(x)/Iv+1(x) $W_{v} ( x ) =xI_{v} ( x ) /I_{v+1} ( x ) $ with Iv $I_{v}$ be the modified Bessel functions of the first kind of order v. In this paper, we prove the monotonicity of the function x↦(Wv(x)−p)2−(2v+2−p)2x2 $$ x\mapsto\frac{ ( W_{v}
Zhen-Hang Yang, Shen-Zhou Zheng
doaj   +1 more source