Results 11 to 20 of about 5,719 (203)

Metasurface-Based Multidimensional Light-Field Manipulation: From Technologies to Applications. [PDF]

Adv Sci (Weinh)
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 ...
Yin H, Sun S, Zhang J, Hu J, Qiao Y, Chen L, Li J.   +6 more
europepmc   +2 more sources

Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind

Mathematics, 2019
In the paper, by virtue of the residue theorem in the theory of complex functions, the authors establish several identities between arithmetic means for a class of functions and the modified Bessel functions of the first kind, present several identities ...
Feng Qi, Shao-Wen Yao, Bai-Ni Guo
doaj   +1 more source

Some inequalities of Bessel and modified Bessel functions [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991
AbstractTwo-sided inequalties for the ratio of modified Bessel functions of first kind are given, which provide sharper upper and lower bounds than had been known earlier. Wronskian type inequalities for Bessel functions are proved, and in the sequel alternative proofs of Turan-type inequalities for Bessel and modified Bessel functions are also ...
C. M. Joshi, S. K. Bissu
openaire   +1 more source

Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions

Journal of Kufa for Mathematics and Computer, 2018
We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
doaj   +1 more source

Asymptotic estimates of the difference of products of Bessel functions by the integral of these functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
doaj   +1 more source

On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications

Fractal and Fractional, 2023
This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Soubhagya Kumar Sahoo, Artion Kashuri, Munirah Aljuaid, Soumyarani Mishra, Manuel De La Sen   +4 more
doaj   +1 more source

Extension of Oppenheim's Problem to Bessel Functions

Journal of Inequalities and Applications, 2008
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
doaj   +1 more source

Extrapolation of Electromagnetic Response from Linear Antennas in Time Domain without Late-Time Instabilities in Numerical Solution of EFI Equation

Journal of Telecommunications and Information Technology, 2020
The paper presents a new hybrid method relied upon to solve integral equations of the electric field in time domain and to model linear antennas with pulse excitation.
Anna Witenberg
doaj   +1 more source

Properties of the Turánian of modified Bessel functions [PDF]

Mathematical Inequalities & Applications, 2017
In this paper some new series and integral representations for the Turánian of modified Bessel functions of the first kind are given, which give new asymptotic expansions and tight bounds for the Turán determinant in the question. It is shown that in the case of natural and real order the Turánian can be represented in a relatively compact form, which ...
Mező, István, Baricz, Árpád
openaire   +2 more sources

On some integrals of products of cylindrical functions

Физика волновых процессов и радиотехнические системы, 2019
For a number of solutions to problems of a multilayer optical fiber, the field of which in each layer is described by the sum of the corresponding Bessel functions, integrals of the products of these functions are of interest.
V.A. Burdin
doaj   +1 more source