Results 21 to 30 of about 4,212,975 (247)
Bounds and algorithms for the K-Bessel function of imaginary order [PDF]
, 2013 Using the paths of steepest descent, we prove precise bounds with numerical implied constants for the modified Bessel function of imaginary order and its first two derivatives with respect to the order.
Booker, Andrew R +5 more
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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
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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
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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
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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
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Some Formulae on the Modified Bessel Functions [PDF]
, 1992 P(論文)A linear combination of the modified Bessel functions is a general solution of the Laplace differential equation under a boundary condition in the cylindrical co-ordinate system.
42251, 新谷, 敏朗
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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
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Inequalities for the modified k-Bessel function
International Journal of Analysis and Applications, 2017 The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the m-Bessel functions. The log-convexity with respect to the order of the k-Bessel also given.
Saiful Rahman Mondal +1 more
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Complete Monotonicity of Modified Bessel Functions [PDF]
Proceedings of the American Mathematical Society, 1990 We prove that if ν > 1
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Laplace Transform Methods for Bessel and Modified Bessel Equations: Theory and Applications
AxiomsThis paper revisits the use of the Laplace transform in the study of Bessel and modified Bessel differential equations. Rather than presenting the method as a new alternative to the classical Frobenius approach, the paper is organized as a pedagogical ...
Osman Yürekli
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