Results 81 to 90 of about 112,539 (200)

Going Next after “A Guide to Special Functions in Fractional Calculus”: A Discussion Survey

Mathematics
In the survey Kiryakova: “A Guide to Special Functions in Fractional Calculus” (published in this same journal in 2021) we proposed an overview of this huge class of special functions, including the Fox H-functions, the Fox–Wright generalized ...
Virginia Kiryakova, Jordanka Paneva-Konovska   +1 more
doaj   +1 more source

Boundary problem for the singular heat equation

Karpatsʹkì Matematičnì Publìkacìï, 2017
The scheme for solving of a mixed problem with general boundary conditions is proposed for a heat equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(\lambda(x)\frac{\partial T}{\partial x}\right)\] with coefficient $a(x ...
O.V. Makhnei
doaj   +1 more source

Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.
Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley   +1 more source

On Autonomy Imposition in Zero Interval Limit Perturbation Expansion for the Spectral Entities of Hilbert–Schmidt Integral Operators

Mathematics, 2017
In this work, we deal with the autonomy issue in the perturbation expansion for the eigenfunctions of a compact Hilbert–Schmidt integral operator. Here, the autonomy points to the perturbation expansion coefficients of the relevant eigenfunction not ...
Süha Tuna, Metin Demiralp
doaj   +1 more source

Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$

Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre, Luca Marchesini, Nicole Raulf   +2 more
wiley   +1 more source

Advances in Modal Regression: From Theoretical Foundations to Practical Implementations

WIREs Computational Statistics, Volume 18, Issue 1, March 2026.
Modal regression. ABSTRACT Modal regression has emerged as a powerful alternative to traditional mean and quantile regression by focusing on estimating the conditional mode rather than the conditional mean or quantiles. This approach offers robustness to outliers and skewed distributions while providing more informative prediction intervals for ...
Sijia Xiang, Weixin Yao, Xinping Cui
wiley   +1 more source

Nonstationary scattering of elastic waves by a spherical inclusion [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика
Problems of elastic wave scattering by various types of inhomogeneities rank among the most complex and relevant topics in the field of deformable solid dynamics.
Usmonov, Botir Shukurillaevich, Mukhitdinov, Ramazon Tukhtaevich, Eliboyev, Nurali Rajabaliyevich, Akhmedov, Nasriddin Bakhodirovich   +3 more
doaj   +1 more source

Topographic Scattering of Internal Waves in the Presence of a Steady Surface Current

Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.
Abstract Wave–topography interaction is one of the primary mechanisms through which internal wave energy cascades to small length scales, eventually leading to turbulent diffusion and mixing in the oceans. Precise diffusivity parametrizations are crucial for modeling oceanic flows accurately.
Saranraj Gururaj, Anirban Guha
wiley   +1 more source

A nonlocal boundary problem for the Laplace operator in a half disk

Electronic Journal of Differential Equations, 2014
In the present work we investigate the nonlocal boundary problem for the Laplace equation in a half disk. The difference of this problem is the impossibility of direct applying of the Fourier method (separation of variables). Because the corresponding
Gani A. Besbaev, Isabek Orazov, Makhmud A. Sadybekov   +2 more
doaj  

Quasi‐4‐Day Waves During the 2018/2019 SSW and Their Coupling to the Ionosphere Based on Whole Atmosphere Data Assimilation

Space Weather, Volume 24, Issue 3, March 2026.
Abstract A strong westward zonal wavenumber‐2 quasi‐4‐day wave (Q4DW) during the 2018/2019 Northern Hemisphere sudden stratospheric warming (SSW) is both captured by Aura Microwave Limb Sounder (MLS) observations and our new whole neutral atmosphere data assimilation system.
Wenxuan Wang, Xiankang Dou, Sheng‐Yang Gu, Yusong Qin, Yuxuan Liu, Hao Chen, Bao Zhang   +6 more
wiley   +1 more source