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Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

open access: yesAxioms
In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function.
Naci Taşar   +3 more
doaj   +3 more sources

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

Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum

open access: yesThe Journal of Geometric Analysis, 2022
Abstract The spectral theory on the S -spectrum was introduced to give an appropriate mathematical setting to quaternionic quantum mechanics, but it was soon realized that there were different applications of this theory, for example, to fractional heat diffusion and to the ...
Colombo F.   +3 more
openaire   +3 more sources

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

On Harmonic Functions on Trees [PDF]

open access: yesPotential Analysis, 2001
We study the asymptotic behaviour of harmonic and p-harmonic functions ...
Cantón, Alicia   +3 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

The Approximation of Harmonic Functions by Harmonic Polynomials and by Harmonic Rational Functions [PDF]

open access: yesBulletin of the American Mathematical Society, 1929
which converges uniformly f or all values of 6. This is of course a general fact, tha t if a given function can be uniformly approximated as closely as desired by a linear combination of other functions, then that function can be expanded in a uniformly convergent series of which each term is a linear combination of those other functions, and ...
openaire   +3 more sources

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

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

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  

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