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Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function
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
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Functionals of Harmonics Functions [PDF]
Ministerio de Economía y ...
Quintero, Niurka R. +2 more
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Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum
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
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Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]
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 ...
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On Harmonic Functions on Trees [PDF]
We study the asymptotic behaviour of harmonic and p-harmonic functions ...
Cantón, Alicia +3 more
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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
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The Approximation of Harmonic Functions by Harmonic Polynomials and by Harmonic Rational Functions [PDF]
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 ...
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Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions
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
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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
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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
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