Results 51 to 60 of about 626,730 (186)

On the characterization of the harmonic pseudospheres via Kuran’s functions and single-layer potentials

open access: yesBruno Pini Mathematical Analysis Seminar
We present some characterizations of the harmonic pseudospheres in terms of the so called Kuran's functions and of the single-layer potentials. Our characterizations apply to solid, harmonically stable domains.
Giovanni Cupini, Ermanno Lanconelli
doaj   +1 more source

Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

open access: yesAxioms
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
doaj   +1 more source

On the analytical part of harmonic univalent functions defined by generalized SA˘LA˘GEAN Drivatives [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2009
In the present paper and by making use the generalized S.al.agean derivatives we have introduce and study a class of analytic function and prove the coefficient conditions, distortion bound, fractional integral operator, convex combination, and radius of
doaj   +1 more source

Study on the Estimation of Utility Harmonic Impedance Based on Minimum Norm of Impedance Difference

open access: yesIEEE Access, 2020
The existing methods for estimating harmonic impedance usually assume that harmonic impedance is constant in a measurement period. However, for a variety of practical reasons, such as the load change of power grid, utility harmonic impedance may be ...
Fangwei Xu   +5 more
doaj   +1 more source

Solvability of nonlocal boundary-value problems for the Laplace equation in the ball

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we consider a class of nonlocal problems for the Laplace equation with boundary operators of fractional order. We prove the existence, uniqueness and a representation of the solutions. Also it is shown that the smoothness of solutions
Makhmud A. Sadybekov   +2 more
doaj  

Harmonic mappings and finite valency of analytic functions

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2018
The harmonic mappings of a circle into domains that can be cut into a finite number of convex subdomains has been studied. An estimate of the valency of holomorphic mappings of a circle composed of analytical components of the harmonic function has been ...
L.A. Xuan
doaj  

An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms

open access: yesAxioms
In this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within ...
Md Aquib
doaj   +1 more source

UNIVALENCE OF HARMONIC FUNCTIONS, PROBLEM OF PONNUSAMY AND SAIRAM, AND CONSTRUCTIONS OF UNIVALENT POLYNOMIALS

open access: yesПроблемы анализа, 2014
The criteria of the univalence of a harmonic mapping is obtained in this paper. Particularly, it permits to formulate the hypothesis of the harmonic function classes equality S 0 H = S 0 H(S) (hypothesis of Ponnusamy and Sairam), in analytic form.
Starkov
doaj   +1 more source

Subquadratic harmonic functions on Calabi-Yau manifolds with Euclidean volume growth

open access: yes, 2019
We prove that on a complete Calabi-Yau manifold $M$ with Euclidean volume growth, a harmonic function with subquadratic polynomial growth is the real part of a holomorphic function. This generalizes a result of Conlon-Hein.
Chiu, Shih-Kai
core  

Regularization of distributions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables.
Ricardo Estrada
doaj   +1 more source

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