Results 41 to 50 of about 55,025 (194)
Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications [PDF]
Mathematical Inequalities & Applications, 2018 Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ^{2}$ on $\left( 0,\infty \right) $.
Yang, Zhen-Hang, Zheng, Shen-Zhou
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Mehler-Heine asymptotics for multiple orthogonal polynomials
, 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
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Functional inequalities involving Bessel and modified Bessel functions of the first kind
Expositiones Mathematicae, 2008 Since the sine and cosine functions and the hyperbolic sine and cosine functions are particular cases of Bessel and modifed Bessel functions, the author extends the inequality \(\cosh x-1\), where \(\Gamma\) is Euler gamma function and \(I_{p}(x)\) is the modified Bessel function of first kind. Some properties and inequalities satisfied by \(G_{p}(x)\)
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DNA Nanoarray for Multiplexed RNA Detection With Single‐Molecule Readout
Advanced Science, EarlyView.A carrier‐based DNA nanoarray integrates programmable nucleic acid hybridization with solid‐state nanopore readout for direct RNA detection at single‐molecule resolution. A ternary encoding system enables 27 carriers with 81 addressable sensing sites, allowing the simultaneous identification of targets spanning a wide size range, from short microRNAs ...
Yunxuan Li +12 more
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Bounds for an integral of the modified Bessel function of the first kind and expressions involving it [PDF]
Journal of Mathematical Analysis and Applications, 2021 18 ...
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Inequalities involving modified Bessel functions of the first kind
Journal of Mathematical Analysis and Applications, 1992 The author proves some inequalities for modified Bessel functions of the first kind which are related to a log-convexity property of the hypergeometric function \(F_{0,1}(1+\mu;x^ 2/4)\) (\(\mu>-1/2\)).
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Helical Electron Beam Micro‐Bunching by High‐Order Modes in a Micro‐Plasma Waveguide
Advanced Science, EarlyView.ABSTRACT Electron acceleration by a high‐power Laguerre‐Gaussian pulse in a micro‐plasma waveguide is investigated. When the incident laser travels in the waveguide, electrons on the wall are extracted into the vacuum core and accelerated by the longitudinal field of the waveguide mode.
Xingju Guo, Longqing Yi
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Green's function for the lossy wave equation
Revista Brasileira de Ensino de FísicaUsing 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
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IEEE 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
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Inequalities for integrals of the modified Struve function of the first kind
, 2018 Simple inequalities for some integrals involving the modified Struve function of the first kind $\mathbf{L}_{\nu}(x)$ are established. In most cases, these inequalities have best possible constant.
Gaunt, Robert E.
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