Results 31 to 40 of about 11,431,351 (352)
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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An extremal harmonic function [PDF]
Proceedings of the American Mathematical Society, 1969 surface 3x=h-'(X) and D(u; X) for the Dirichlet integral over the region ix bounded by a and fi. The main result of this paper is the inequality: maxhJ|Qx=m(h; X)=D(h; X)
openaire +1 more source
On the asymptotic mean value property for planar p-harmonic functions [PDF]
, 2015 We show that p-harmonic functions in the plane satisfy a nonlinear asymptotic mean value property for p>1. This extends previous results of Manfredi and Lindqvist for certain range of p's.
Ángel Arroyo, J. G. Llorente
semanticscholar +1 more source
New Discrete Basis for Nuclear Structure Studies [PDF]
, 1998 A complete discrete set of spherical single-particle wave functions for studies of weakly-bound many-body systems is proposed. The new basis is obtained by means of a local-scale point transformation of the spherical harmonic oscillator wave functions ...
A. K. Kerman +48 more
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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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Polynomials and harmonic functions on discrete groups [PDF]
, 2015 Alexopoulos proved that on a finitely generated virtually nilpotent group, the restriction of a harmonic function of polynomial growth to a torsion-free nilpotent subgroup of finite index is always a polynomial in the Mal'cev coordinates of that subgroup.
Tom Meyerovitch +3 more
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A variant of Jensen-type inequality and related results for harmonic convex functions
AIMS Mathematics, 2020 In this article, we present a variant of discrete Jensen-type inequality for harmonic convex functions and establish a Jensen-type inequality for harmonic h-convex functions. Furthermore, we found a variant of Jensen-type inequality for harmonic h-convex
Imran Abbas Baloch +4 more
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Informatika, 2023 Objectives. Analytical solution of the boundary value problem of electrostatics for modeling the electrostatic field of a charged ring located inside a grounded infinite circular cylinder in the presence of a perfectly conducting torus is considered. The
G. Ch. Shushkevich
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A Fatou theorem for $F$-harmonic functions
, 2016 In this paper we study a class of functions that appear naturally in some equidistribution problems and that we call $F$-harmonic. These are functions of the universal cover of a closed and negatively curved which possess an integral representation ...
Alvarez, Sébastien
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All functions are locally $s$-harmonic up to a small error [PDF]
, 2014 We show that we can approximate every function $f\in C^{k}(\bar{B_1})$ with a $s$-harmonic function in $B_1$ that vanishes outside a compact set. That is, $s$-harmonic functions are dense in $C^{k}_{\rm{loc}}$.
Dipierro, Serena +2 more
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