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Multiply Harmonic Functions [PDF]

open access: yesNagoya Mathematical Journal, 1966
Let Ω and Ω′ be two locally compact, connected Hausdorff spaces having countable bases. On each of the spaces is defined a system of harmonic functions satisfying the axioms of M. Brelot [2]. The following is the description of such a system. To each open set of Ω is assigned a vector space of finite continuous functions, called the harmonic functions,
openaire   +3 more sources

The harmonic analysis of kernel functions [PDF]

open access: yesAutomatica, 2018
Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian process with zero mean and with a certain kernel (i.e. covariance) function.
Mattia Zorzi, Alessandro Chiuso
openaire   +2 more sources

Modeling the electrostatic field of a charged ring located inside an infinite cylinder in the presence of a torus

open access: yesInformatika, 2023
Objectives. Analytical solution of the boundary value problem of electrostatics for modeling the electrostatic field of a charged ring located inside a grounded infinite circular cylinder in the presence of a perfectly conducting torus is considered. The
G. Ch. Shushkevich
doaj   +1 more source

An extremal harmonic function [PDF]

open access: yesProceedings of the American Mathematical Society, 1969
surface 3x=h-'(X) and D(u; X) for the Dirichlet integral over the region ix bounded by a and fi. The main result of this paper is the inequality: maxhJ|Qx=m(h; X)=D(h; X)
openaire   +1 more source

Transformation Method for Solving System of Boolean Algebraic Equations

open access: yesMathematics, 2021
In recent years, various methods and directions for solving a system of Boolean algebraic equations have been invented, and now they are being very actively investigated. One of these directions is the method of transforming a system of Boolean algebraic
Dostonjon Barotov   +6 more
doaj   +1 more source

On Harmonically (p,h,m)-Preinvex Functions

open access: yesJournal of Function Spaces, 2017
We define a new generalized class of harmonically preinvex functions named harmonically (p,h,m)-preinvex functions, which includes harmonic (p,h)-preinvex functions, harmonic p-preinvex functions, harmonic h-preinvex functions, and m-convex functions as ...
Shan-He Wu   +2 more
doaj   +1 more source

Some identities on generalized harmonic numbers and generalized harmonic functions

open access: yesDemonstratio Mathematica, 2023
The harmonic numbers and generalized harmonic numbers appear frequently in many diverse areas such as combinatorial problems, many expressions involving special functions in analytic number theory, and analysis of algorithms.
Kim Dae San, Kim Hyekyung, Kim Taekyun
doaj   +1 more source

Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions

open access: yesMathematics, 2020
The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination ...
Georgia Irina Oros
doaj   +1 more source

Polylinear Transformation Method for Solving Systems of Logical Equations

open access: yesMathematics, 2022
In connection with applications, the solution of a system of logical equations plays an important role in computational mathematics and in many other areas.
Dostonjon Numonjonovich Barotov   +1 more
doaj   +1 more source

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen   +23 more
wiley   +1 more source

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