Results 11 to 20 of about 52,366 (261)
Vector-valued holomorphic and harmonic functions
Concrete Operators, 2016 Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with
Arendt Wolfgang
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Harmonic functions associated with Pascal distribution series
Scientific African, 2023 The primary objective of this paper is to explore the application of a specific convolution operator, which incorporates the Pascal distribution series. Through this investigation, we establish essential inclusion relations between the harmonic class HΥ ...
B.A. Frasin +3 more
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Harmonic analysis of harmonic functions in the plane [PDF]
Proceedings of the American Mathematical Society, 1976 A continuous function on the complex plane is harmonic if and only if the span of its compositions with entire functions is not dense in the space of continuous functions in the topology of uniform convergence on compact sets.
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On Harmonic Functions on Trees [PDF]
Potential Analysis, 2001 We study the asymptotic behaviour of harmonic and p-harmonic functions ...
Cantón, Alicia +3 more
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Fixed-energy harmonic functions
Discrete Analysis, 2017 Fixed-energy harmonic functions, Discrete Analysis 2017:18, 21 pp. The classical Dirichlet problem asks for a harmonic function in the interior of a region that takes specified values on the boundary.
Aaron Abrams, Richard Kenyon
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The Approximation of Harmonic Functions by Harmonic Polynomials and by Harmonic Rational Functions [PDF]
Bulletin 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 ...
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Some inequalities for strongly $(p,h)$-harmonic convex functions
Karpatsʹkì Matematičnì Publìkacìï, 2019 In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
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Certain convex harmonic functions
International Journal of Mathematics and Mathematical Sciences, 2002 We define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this ...
Yong Chan Kim +2 more
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On s-harmonic functions on cones [PDF]
Analysis & PDE, 2018 We deal with non negative functions satisfying \[ \left\{ \begin{array}{ll} (-Δ)^s u_s=0 & \mathrm{in}\quad C, u_s=0 & \mathrm{in}\quad \mathbb{R}^n\setminus C, \end{array}\right. \] where $s\in(0,1)$ and $C$ is a given cone on $\mathbb R^n$ with vertex at zero.
Terracini, S, Tortone, G, Vita, S
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Directional Convexity of Convolutions of Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2019 Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be ...
Jay M. Jahangiri, Raj Kumar Garg
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