Results 41 to 50 of about 49,915 (154)

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 polynomials connected to powers of Bessel functions

open access: yes, 2013
The series expansion of a power of the modified Bessel function of the first kind is studied. This expansion involves a family of polynomials introduced by C. Bender et al. New results on these polynomials established here include recurrences in terms of
Moll, Victor H., Vignat, C.
core   +2 more sources

Generalised partition functions: Inferences on phase space distributions [PDF]

open access: yes, 2016
The statistical mechanical partition function can be used to construct different forms of phase space distributions not restricted to the Gibbs-Boltzmann factor.
Baumjohann, W., Treumann, R. A.
core   +3 more sources

Mehler-Heine asymptotics for multiple orthogonal polynomials

open access: yes, 2016
Mehler-Heine asymptotics describe the behavior of orthogonal polynomials near the edges of the interval where the orthogonality measure is supported. For Jacobi polynomials and Laguerre polynomials this asymptotic behavior near the hard edge involves ...
Van Assche, Walter
core   +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

Vibrational modes of circular free plates under tension

open access: yes, 2010
The vibrational frequencies of a plate under tension are given by the eigenvalues $\omega$ of the equation $\Delta^2u-\tau\Delta u=\omega u$. This paper determines the eigenfunctions and eigenvalues of this bi-Laplace problem on the ball under natural ...
Ashbaugh MS   +8 more
core   +1 more source

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

Analysis of ( P , m ) $(P,\mathrm{m})$ -superquadratic function and related fractional integral inequalities with applications

open access: yesJournal of Inequalities and Applications
In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fractional versions ...
Dawood Khan   +2 more
doaj   +1 more source

A class of linear viscoelastic models based on Bessel functions

open access: yes, 2016
In this paper we investigate a general class of linear viscoelastic models whose creep and relaxation memory functions are expressed in Laplace domain by suitable ratios of modified Bessel functions of contiguous order. In time domain these functions are
Colombaro, Ivano   +2 more
core   +1 more source

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