Results 31 to 40 of about 2,550 (129)

Green's function for the lossy wave equation

open access: yesRevista Brasileira de Ensino de Física
Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
doaj   +1 more source

A Novel Full-Duplex Primary Signal Extraction Method Based on Polarization Vector Distance in Cognitive Radio Networks

open access: yesIEEE Access, 2018
In this paper, a polarization vector distance based signal extraction (PVD-SE) method for full-duplex primary users (FD-PUs) oriented cognitive radio networks (CRN) is studied. The problem of primary signal extraction in FD-PUs oriented CRN boils down to
Dongming Li, Dengyin Zhang, Xuejian Zhao
doaj   +1 more source

On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind

open access: yesJournal of Mathematical Inequalities, 2022
Summary: Let \(A(a,b)\), \(G(a,b)\), \(L(a,b)\) and \(TQ(a,b)\) be the arithmetic, geometric, logarithmic and Toader-Qi means of \(a, b > 0\) with \(a\neq b\), respectively. Let \(I_v(x)\) be the modified Bessel functions of thefirst kind of order \(v\). We prove the double inequality \[ \sqrt{\frac{\sinh t}{t} U_q(t)} < I_0(t) < \sqrt{\frac{\sinh t}{t}
Li, Cen, Liu, Zhi-Ming, Zheng, Shen-Zhou
openaire   +2 more sources

CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND [PDF]

open access: yesCommunications of the Korean Mathematical Society, 2017
Generalized integral formulas involving the generalized modified k-Bessel function $J_{k,ν}^{c,γ,λ}\left( z\right) $ of first kind are expressed in terms generalized $k-$Wright functions.
Nisar, K. S., Mondal, S. R.
openaire   +2 more sources

On a Neumann-type series for modified Bessel functions of the first kind

open access: yesProceedings of the American Mathematical Society, 2017
In this paper, we are interested in a Neumann-type series for modified Bessel functions of the first kind which arises in the study of Dunkl operators associated with dihedral groups and as an instance of the Laguerre semigroup constructed by Ben Said-Kobayashi-Orsted. We first revisit the particular case corresponding to the group
Deleaval, Luc, Demni, Nizar
openaire   +5 more sources

Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind

open access: yesJournal of Computational and Applied Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Coussement, Els, Van Assche, Walter
openaire   +1 more source

Efficient spherical surface integration of Gauss functions in three-dimensional spherical coordinates and the solution for the modified Bessel function of the first kind

open access: yesJournal of Mathematical Chemistry, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yiting Wang, Jing Kong
openaire   +3 more sources

Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow-Band Stochastic Parametric Excitations

open access: yesComplexity, 2019
To improve energy harvesting performance, this paper investigates the resonance mechanism of nonlinear vibrational multistable energy harvesters under narrow-band stochastic parametric excitations.
Dongmei Huang   +2 more
doaj   +1 more source

Cauchy problem for a parabolic equation with Bessel operator and Riemann-Liouville partial derivative

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In this paper Cauchy problem for a parabolic equation with Bessel operator and with Riemann-Liouville partial derivative is considered. The representation of the solution is obtained in terms of integral transform with Wright function in the kernel.
Fatima G Khushtova
doaj   +1 more source

Some special functions and cylindrical diffusion equation on α-time scale

open access: yesDemonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu   +3 more
doaj   +1 more source

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