Results 41 to 50 of about 185,152,226 (151)
Van der Corput inequalities for Bessel functions
, 2014 In this note, we offer some log-concavity properties of certain functions related to Bessel functions of the first kind and modified Bessel functions of the first and second kinds, by solving partially a recent conjecture on the log-convexity/log ...
Baricz, Árpád +2 more
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Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind [PDF]
, 1995 In the paper a convolution of the Hankel transform is constructed.
Megumi Saigo, Vu Kim Tuan
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Metasurface‐Based Multidimensional Light‐Field Manipulation: From Technologies to Applications
Advanced Science, EarlyView.Multidimensional metasurfaces enable versatile manipulation of multiple optical degrees of freedom, including phase, amplitude, polarization, wavelength, and orbital angular momentum. This review summarizes their fundamental mechanisms, emerging strategies for multidimensional light‐field control, and key applications in optical computing, imaging ...
Heliang Yin +6 more
wiley +1 more source
The modified Bessel K functions and the Fourier Transform of q-Gaussians [PDF]
, 2023 Here we show that the Fourier transform of the q-exponential Tsallis functions (also known as q-Gaussians) are generating time correlation functions based on the modified Bessel functions of the second kind.
Amelia Carolina Sparavigna
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On Integral Representation of First Kind Bessel Function [PDF]
, 2004 A first kind Fredholm integral equation with nondegenerate kernel is given, which particular solution is the Bessel function of first kind.
Draščić, Biserka, Pogány, Tibor K
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Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective
Advanced Electronic Materials, EarlyView.Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe +4 more
wiley +1 more source
Journal 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
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On an identity for zeros of Bessel functions
, 2015 In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary approach we present a new identity for the zeros of Bessel functions of the ...
Baricz, Árpád +3 more
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Journal of Inequalities and ApplicationsIn 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
CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND [PDF]
Communications 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.
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