Results 41 to 50 of about 516,450 (251)
SymmetryThe integro-differential equation with the Cauchy kernel is used in many different technical problems, such as in circuit analysis or gas infrared radiation studies.
R. Brociek, M. Pleszczyński
semanticscholar +1 more source
Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators
, 1997 Based on the theory of Dunkl operators, this paper presents a general concept of multivariable Hermite polynomials and Hermite functions which are associated with finite reflection groups on $\b R^N$.
Rösler, Margit
core +2 more sources
A Relevance Vector Machine Prediction Method Based on the Biased Wavelet Kernel Function
ITM Web of Conferences, 2017 Relevance Vector Machine (RVM) is an important learning method in the field of machine learning for its sparsity, global optimality and the ability to solve nonlinear problems by using kernel functions. In this paper, a family of biased wavelets was used
Liu Fang +3 more
doaj +1 more source
The double‐periodic analog of the Cauchy kernel and some its applications
Mathematical Modelling and Analysis, 1998 A new analytic expression for the double‐periodic analog of the Cauchy kernel is proposed and its explicit form is presented. Some applications of this analog are given.
N. A. Dzehtsiarenka, E. I. Zverovich
doaj +1 more source
Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies.
, 1995 Hirota bilinear identity for Cauchy-Baker-Akhieser (CBA) kernel is introduced as a basic tool to construct integrable hierarchies containing lattice and q-difference times.
Bogdanov +7 more
core +1 more source
Three-Dimensional Analog of the Cauchy Type Integral [PDF]
, 2011 On a smooth closed surface, we consider integrals of the Cauchy type with kernel depending on the difference of arguments. They cover both double-layer potentials for second-order elliptic equations and generalized integrals of the Cauchy type for first ...
Polunin, V. A., Soldatov, A. P.
core +1 more source
Eigenvalue problem for differential Cauchy-Riemann operator with nonlocal boundary conditions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We consider the reduced spectral problem for the Cauchy-Riemann operator with nonlocal boundary conditions to Fredholm linear integral equation of the second kind with a continuous kernel. The corresponding Fredholm determinant is defined for all spectral
Nurlan N Imanbaev
doaj +1 more source
On asymptotic properties of solutions for differential equations of neutral type
Современная математика: Фундаментальные направления, 2023 The stability of systems of linear autonomous functional differential equations of neutral type is studied. The study is based on the well-known representation of the solution in the form of an integral operator, the kernel of which is the Cauchy ...
V. V. Malygina, K. M. Chudinov
doaj +1 more source
Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization
AIChE Journal, EarlyView.Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed +4 more
wiley +1 more source
Cauchy-Stieltjes families with polynomial variance functions and generalized orthogonality
, 2019 This paper studies variance functions of Cauchy-Stieltjes Kernel families generated by compactly supported centered probability measures. We describe several operations that allow us to construct additional variance functions from known ones.
Bryc, Wlodzimierz +2 more
core +1 more source