Results 21 to 30 of about 621,740 (291)
Fourier coefficients and growth of harmonic functions
International Journal of Mathematics and Mathematical Sciences, 1987 We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its ...
A. fryant, H. Shankar
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Maximal domains of radial harmonic functions [PDF]
arXiv, 2022 We examine the maximal domain of radial harmonic functions on harmonic spaces in the context of positive, zero, and negative curvature.
arxiv
Poisson type inequalities with respect to a cone and their applications
Journal of Inequalities and Applications, 2017 In this paper, we establish new Poisson type inequalities with respect to a cone. As applications, the integral representations of harmonic functions are also obtained.
Chang Shu +2 more
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Harmonic Functions on Four Dimensions [PDF]
arXiv, 2023 This paper develops theory for a newly-defined bicomplex hyperbolic harmonic function with four real-dimensional inputs, in a way that generalizes the connection between real harmonic functions with two real-dimensional inputs and complex analytic functions. For example, every bicomplex hyperbolic harmonic function appears as this paper's newly-defined
arxiv
Polynomial Harmonic Decompositions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 For real polynomials in two indeterminates a classical polynomial harmonic decomposition (cf. (1) below) is extended from square-norm divisors to conic ones. The main result is then applied to obtain a full polynomial harmonic decomposition, and to solve
Anghel Nicolae
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An Analytical Dataset of Approaches to V in Mozart
Empirical Musicology Review, 2023 Tonal functions—tonic, pre-dominant, and dominant—are a standard feature of North American music theory. The pre-dominant (PD) encompasses the largest number of chords, varying in quality and scale degrees; unlike the tonic and dominant functions, it is ...
Jenine Brown, Daphne Tan, Michelle Lin
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The tri-harmonic Neumann problem
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this article investigated the tri-harmonic Neumann function for the unit dics. For harmonics functions the Neumann’s boundary problem is well studied and solved under certain conditions through Neumann’s function, sometimes it is also called Green’s ...
S. Burgumbayeva
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Schwarz-Pick Lemma for Harmonic and Hyperbolic Harmonic Functions [PDF]
arXiv, 2021 We establish some inequalities of Schwarz-Pick type for harmonic and hyperbolic harmonic functions on the unit ball of and we disprove a recent conjecture of Liu [Schwarz-Pick Lemma for Harmonic Functions, International Mathematics Research Notices, 2021].
arxiv
The local uniform convergence of positive harmonic function sequence
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2023 The Harnack distance on space and its conformal invariance were constructed and studied by Herron. In this paper, we obtain the Harnack distance on domains in . Then, we use this concept to investigate some properties of the positive harmonic function
Dang Thinh Do +2 more
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GENERALIZATION OF THE THOMSON FORMULA FOR HOMOGENEOUS HARMONIC FUNCTIONS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 It is shown that the Thomson formula for three-dimensional harmonic homogeneous functions can be generalized if, instead of purely algebraic linear expressions, one uses a linear algebraic form with the participation of the first order partial ...
Berdnikov Alexander +3 more
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