Results 61 to 70 of about 6,919,686 (232)
Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu +3 more
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On a product of modified Bessel functions [PDF]
Proceedings of the American Mathematical Society, 2008 Summary: Let \(I_{\nu}\) and \( K_{\nu}\) denote the modified Bessel functions of the first and second kinds of order \( \nu.\) In this note we prove that the monotonicity of \( u \mapsto I_{\nu}(u)K_{\nu}(u)\) on \( (0,\infty)\) for all \( \nu\geq -1/2\) is an almost immediate consequence of the corresponding Turán type inequalities for the modified ...
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Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We study the asymptotic behavior of solutions to the multidimensional diffusion (heat) equation with continuous time and discrete space. We focus on initial-value problems with bounded initial data, and provide sufficient conditions for the existence of ...
Antonín Slavík
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Designing Wire Mazes for Replicating Natural Echoes to Study Bat Biosonar Function
Advanced Intelligent Systems, EarlyView.A validated framework combining efficient physical modeling (multiple scattering model) and deep learning is presented to guide wire‐maze design for bat biosonar studies. This approach rapidly generates large datasets to test acoustic distinguishability among wire arrangements.
Chunlin Jia +3 more
wiley +1 more source
Propagation of modified Bessel-Gaussian beams in turbulence
, 2008 We investigate the propagation characteristics of modified Bessel-Gaussian beams traveling in a turbulent atmosphere. The source beam formulation comprises a Gaussian exponential and the summation of modified Bessel functions.
Eyyuboglu, Halil Tanyer, Hardalac, Firat
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On new formulae for cumulative distribution function for McKay Bessel distribution
, 2021 Motivated by recent results by Nadarajah, Srivastava and Gupta (2007) in which the authors introduced a new formula for CDF F_K of the McKay Bessel function distribution containing the modified Bessel function K_nu we aim to present new formulae for F_K,
Poganj, Tibor +1 more
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Nonparaxial accelerating Bessel-like beams [PDF]
, 2013 A new class of nonparaxial accelerating optical waves is introduced. These are beams with a Bessel-like profile that are capable of shifting laterally along fairly arbitrary trajectories as the wave propagates in free space.
Chremmos, Ioannis +5 more
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Solutions of a Nonlinear Diffusion Equation with a Regularized Hyper-Bessel Operator
Fractal and Fractional, 2022 We investigate the Cauchy problem for a nonlinear fractional diffusion equation, which is modified using the time-fractional hyper-Bessel derivative. The source function is a gradient source of Hamilton–Jacobi type. The main objective of our current work
Nguyen Hoang Luc +2 more
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Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions
, 1995 We define a q-analog of the modified Bessel and Bessel-Macdonald functions. As for the q-Bessel functions of Jackson there is a couple of functions of the both kind. They are arisen in the Harmonic analysis on quantum symmetric spaces similarly to their classical counterpart. Their definition is based on the power expansions.
Olshanetsky, M. A., Rogov, V. -B. K.
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