Results 141 to 150 of about 6,388 (244)
Powers of modified Bessel functions of the first kind
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Denoising of ASL Data Using Deep Learning Priors Generated From Distribution Remapping
Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1972-1982, October 2026.ABSTRACT Purpose To develop an effective deep learning (DL)–based method to denoise arterial spin labeling (ASL) data. Methods Conventional DL–based ASL denoising methods often suffer from overfitting and poor generalization when training data are limited.
Ziyang Xu +9 more
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Model‐Agnostic Influential Outlier Metric
Stat, Volume 15, Issue 3, September 2026.ABSTRACT The influential outlier metric (IOM) provides model‐agnostic influential outlier detection. We define influence of an observation using a combination of SHapley Additive exPlanation (SHAP) values and the residual. Both are transformed using normalizing flows, changing their respective measures to Gaussian distributions.
Colin C. Jones, David A. Campbell
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Monotonicity of the ratio of modified Bessel functions of the first kind with applications. [PDF]
J Inequal Appl, 2018 Yang ZH, Zheng SZ.
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Reactive Mixing Fronts in Porous Media Under Transverse Velocity Gradients
Geophysical Research Letters, Volume 53, Issue 15, 16 August 2026.Abstract Mixing‐limited reactions in porous media depend on concentration gradients at interfaces, yet their behavior in nonuniform co‐flow remains poorly understood. Here we develop a closed‐form theory for irreversible reactions A+B→P $A+B\to P$ in a co‐flow where a transverse velocity gradient makes transverse hydrodynamic dispersion vary linearly ...
Yubo Cheng +4 more
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On Some Integral Properties of Modified Bessel Functions
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2015 Summary: New integral equations for modified Bessel functions of an arbitrary complex order are presented. The properties of Lebedev-Skalskaya integral transforms are investigated.
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International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 11, Page 4691-4705, 10 August 2026.ABSTRACT An efficient semi‐analytical approach based on the Fourier–Bessel series (FBS) system of vector functions and the stiffness matrix method is proposed to study the dynamic response of axially loaded piles embedded in transversely isotropic (TI) layered soil.
Quoc Kinh Tran +5 more
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Detecting When One Probe Vector is Enough for Preconditioned Log‐Determinant Approximation
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT We present randomized algorithms for estimating the log‐determinant of regularized symmetric positive semi‐definite matrices. The algorithms access the matrix only through matrix vector products, and are based on the introduction of a preconditioner and stochastic trace estimator.
Alice Cortinovis, Daniele Toni
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Ray Tracing Method in a General Non‐Dipole Magnetic Field
Journal of Geophysical Research: Space Physics, Volume 131, Issue 8, August 2026.Abstract We present a new general mathematical formulation of the Eikonal equations for ray tracing, which can use any internal magnetic field model. The analytical and tractable expressions are conveniently based on a vector formalism, which is independent of any coordinate system.
P.‐L. Blelly +4 more
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An integral containing a Bessel Function and a Modified Bessel Function of the First Kind
, 2017 Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.
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