Results 41 to 50 of about 49,915 (154)
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
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On polynomials connected to powers of Bessel functions
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.
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Generalised partition functions: Inferences on phase space distributions [PDF]
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.
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Mehler-Heine asymptotics for multiple orthogonal polynomials
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
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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
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CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND [PDF]
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.
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Vibrational modes of circular free plates under tension
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
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On a Neumann-type series for modified Bessel functions of the first kind
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
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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
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A class of linear viscoelastic models based on Bessel functions
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
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