Results 1 to 10 of about 650,601 (249)

HARMONIC FUNCTION

open access: yesمجلة جامعة الزيتونة, 2022
 In this paper, we present an innovative idea of the harmonic functions. In order to do this, we first present the most important theories related to harmonic functions and put forward the idea of harmonic conjugate.
Abdulbasit Abdulrahman   +2 more
doaj   +2 more sources

Analysis and application of real-time compensation of positioning precision of the turntable with a harmonic function [PDF]

open access: yesMetrology and Measurement Systems, 2022
In order to guarantee the accuracy of turntable angle measurement, a real-time compensation method for turntable positioning precision based on harmonic analysis is proposed in this paper.
Yi Zhou   +5 more
doaj   +1 more source

Univalent harmonic functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1987
Several families of complex-valued, univalent, harmonic functions are studied from the point of view of geometric function theory. One class consists of mappings of a simply-connected domain onto an infinite horizontal strip with a normalization at the origin.
Hengartner, W., Schober, G.
openaire   +1 more source

Functionals of Harmonics Functions [PDF]

open access: yesThe First International Conference on Symmetry, 2018
Ministerio de Economía y ...
Quintero, Niurka R.   +2 more
openaire   +3 more sources

A Clustering-Based Approach to Automatic Harmonic Analysis: An Exploratory Study of Harmony and Form in Mozart’s Piano Sonatas

open access: yesTransactions of the International Society for Music Information Retrieval, 2022
We implement a novel approach to automatic harmonic analysis using a clustering method on pitch-class vectors (chroma vectors). The advantage of this method is its lack of top-down assumptions, allowing us to objectively validate the basic music theory ...
Jason Yust, Jaeseong Lee, Eugene Pinsky
doaj   +1 more source

Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]

open access: yesAbstract and Applied Analysis, 2012
For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under which a harmonic function on U = ϕ−1(V) ⊂ M projects down, via its horizontal component, to a ...
openaire   +4 more sources

Green's functions of the first and second boundary value problems for the Laplace equation in the nonclassical domain

open access: yesРадіоелектронні і комп'ютерні системи, 2022
The subject of study is the Green's functions of the first and second boundary value problems for the Laplace equation. The study constructs the Green's functions of the first and second boundary value problems for the Laplace equation in space with a ...
Oleksii Nikolaev   +2 more
doaj   +1 more source

Studying the Harmonic Functions Associated with Quantum Calculus

open access: yesMathematics, 2023
Using the derivative operators’ q-analogs values, a wide variety of holomorphic function subclasses, q-starlike, and q-convex functions have been researched and examined.
Abdullah Alsoboh   +3 more
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

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

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