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Certain inequalities for the modified Bessel-type function
Journal of Inequalities and Applications, 2019 We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math.
Min-Jie Luo, Ravinder Krishna Raina
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On generalized Bessel–Maitland function
Advances in Difference Equations, 2021 An approach to the generalized Bessel–Maitland function is proposed in the present paper. It is denoted by J ν , λ μ $\mathcal{J}_{\nu , \lambda }^{\mu }$ , where μ > 0 $\mu >0$ and λ , ν ∈ C $\lambda ,\nu \in \mathbb{C\ }$ get increasing interest from ...
Hanaa M. Zayed
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The logarithmic concavity of modified Bessel functions of the first kind and its related functions
Advances in Difference Equations, 2019 This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties.
Thanit Nanthanasub +2 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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Results in Physics, 2019 We have calculated in a closed form solution, in terms of modified Bessel function the first kind of order 0 and 1, for the motion of a positively charged particle in the magnetic field of an infinitely long, current-carrying wire in the nonrelativistic ...
Masoud Asadi-Zeydabadi, Clyde S. Zaidins
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Dynamics of internal gravity waves in the ocean with shear flows
Russian Journal of Earth Sciences, 2020 The problem of the harmonic internal gravity wave dynamics in a stratified ocean of finite depth with shear flows is solved. Stratification with constant distribution of the buoyancy frequency and various linear dependences of the shear flow on depth ...
Bulatov V V, Vladimirov Yu V
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Aplikasi Persamaan Bessel Orde Nol Pada Persamaan Panas Dua Dimensi
Jurnal Fourier, 2013 Bessel differential equation is one of the applied equation in physics is about heat transfer. Application of modified Bessel function of order zero on heat transfer process of two-dimensional objects which can be modelled in the form of a two-order ...
Annisa Eki Mulyati, Sugiyanto Sugiyanto
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Inequalities involving Bessel and modified Bessel functions
Journal of Mathematical Analysis and Applications, 1990 The authors define a self-adjoint and compact operator whose eigenvalues are given by \(\pm 2/j_{\nu k}\), where \(j_{\nu k}\) is the kth positive zero of the Bessel function \(J_{\nu}(x)\) of the first kind. Using operator techniques the authors derive some lower and upper bounds for \(J_{\nu +1}(x)/J_{\nu}(x)\) and \(I_{\nu +1}(x)/I_{\nu}(x)\), where
Ifantis, E.K., Siafarikas, P.D.
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Complete Monotonicity of Modified Bessel Functions [PDF]
Proceedings of the American Mathematical Society, 1990 We prove that if ν > 1 / 2 \nu > 1/2 , then 2 ν − 1 Γ ( ν ) / [ x ν
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Functional inequalities for modified Bessel functions
Expositiones Mathematicae, 2011 14 ...
Baricz, Árpád +2 more
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