Results 21 to 30 of about 6,388 (244)
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
Complete elliptic integrals resulting from infinite integrals of Bessel functions [PDF]
, 1974 Infinite integrals of Bessel and modified Bessel functions reducible to complete elliptic integrals are compiled.
Okui, Shigehiko
core +1 more source
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 +4 more
doaj +1 more source
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
Complete Monotonicity of Modified Bessel Functions [PDF]
Proceedings of the American Mathematical Society, 1990 We prove that if ν > 1
openaire +1 more source
Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]
, 2015 We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo +5 more
core +1 more source
Two general series identities involving modified Bessel functions and a class of arithmetical functions [PDF]
, 2023 We consider two sequences a(n) and, b(n), 1 ≤ n μ(z), and can be thought of as a 'modular' or 'theta' relation wherein modified Bessel functions, instead of exponential functions, appear.
Dixit, Atul +7 more
core +1 more source