Results 41 to 50 of about 626,730 (186)

Some Janowski Type Harmonic q-Starlike Functions Associated with Symmetrical Points

open access: yesMathematics, 2020
The motive behind this article is to apply the notions of q-derivative by introducing some new families of harmonic functions associated with the symmetric circular region. We develop a new criterion for sense preserving and hence the univalency in terms
Muhammad Arif   +4 more
doaj   +1 more source

Exact solution of the time-dependent harmonic plus an inverse harmonic potential with a time-dependent electromagnetic field

open access: yes, 2003
In this article, the problem of the charged harmonic plus an inverse harmonic oscillator with time-dependent mass and frequency in a time-dependent electromagnetic field is investigated.
Arfken   +15 more
core   +1 more source

Some Remarks on Harmonic Functions in Minkowski Spaces

open access: yesMathematics, 2019
We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
doaj   +1 more source

An obstacle problem for Tug-of-War games [PDF]

open access: yes, 2013
We consider the obstacle problem for the infinity Laplace equation. Given a Lipschitz boundary function and a Lipschitz obstacle we prove the existence and uniqueness of a super infinity-harmonic function constrained to lie above the obstacle which is ...
J. Somersille   +3 more
core  

Thermodynamics of the Harmonic Oscillator: Wien's Displacement Law and the Planck Spectrum

open access: yes, 2002
A thermodynamic analysis of the harmonic oscillator is presented. Motivation for the study is provided by the blackbody radiation spectrum; when blackbody radiation is regarded as a system of noninteracting harmonic oscillator modes, the thermodynamics ...
Boyer, Timothy H.
core   +1 more source

ON SOLVABILITY OF THE BOUNDARY VALUE PROBLEMS FOR HARMONIC FUNCTION ON NONCOMPACT RIEMANNIAN MANIFOLDS

open access: yesПроблемы анализа, 2019
We study questions of existence and belonging to the given functional class of solutions of the Laplace-Beltrami equations on a noncompact Riemannian manifold M with no boundary. In the present work we suggest the concept of φ-equivalency in the class
A. G. Losev, E. A. Mazepa
doaj   +1 more source

Solution technology of system side harmonic variable impedance based on minimum norm

open access: yes电力工程技术, 2023
To calculate the harmonic impedance on the system side is crucial for the safe and stable operation of the new power system. Existing algorithms for harmonic impedance estimation usually assume that the harmonic impedance on the system side is constant ...
XU Fangwei   +3 more
doaj   +1 more source

Heat and work fluctuations for a harmonic oscillator

open access: yes, 2012
The formalism of Kundu et al. [J. Stat. Mech. (2011) P03007], for computing the large deviations of heat flow in harmonic systems, is applied to the case of single Brownian particle in a harmonic trap and coupled to two heat baths at different ...
B. Derrida, R. Wong, Sanjib Sabhapandit
core   +2 more sources

Harmonic Sierpinski Gasket and Applications

open access: yesEntropy, 2018
The aim of this paper is to investigate the generalization of the Sierpinski gasket through the harmonic metric. In particular, this work presents an antenna based on such a generalization.
Emanuel Guariglia
doaj   +1 more source

Bouncing Negative-Tension Branes

open access: yes, 2008
Braneworlds, understood here as double domain wall spacetimes, can be described in terms of a linear harmonic function, with kinks at the locations of the boundary branes.
Jean-Luc Lehners   +2 more
core   +1 more source

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