Results 51 to 60 of about 626,730 (186)
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
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Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function
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
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On the analytical part of harmonic univalent functions defined by generalized SA˘LA˘GEAN Drivatives [PDF]
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
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Study on the Estimation of Utility Harmonic Impedance Based on Minimum Norm of Impedance Difference
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
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Solvability of nonlocal boundary-value problems for the Laplace equation in the ball
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
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Harmonic mappings and finite valency of analytic functions
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
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An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms
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
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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
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Subquadratic harmonic functions on Calabi-Yau manifolds with Euclidean volume growth
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
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Regularization of distributions
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
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