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Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions
Published 2012-01-01“…By comparing the Laplacians on M and N, we determine conditions under which a harmonic function on U=ϕ−1(V)⊂M projects down, via its horizontal component, to a harmonic function on V⊂N.…”
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Fourier coefficients and growth of harmonic functions
Published 1987-01-01Subjects: “…harmonic function…”
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Convolutions of Harmonic Functions with Certain Dilatations
Published 2017-01-01“…The convolution of harmonic functions, unlike the analytic case, proved to be very challenging. …”
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Directional Convexity of Convolutions of Harmonic Functions
Published 2019-01-01“…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 challenging. …”
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Convexity Property of Finsler Infinity Harmonic Functions
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Subclass of Multivalent Harmonic Functions with Missing Coefficients
Published 2012-01-01“…We have studied subclass of multivalent harmonic functions with missing coefficients in the open unit disc and obtained the basic properties such as coefficient characterization and distortion theorem, extreme points, and convolution.…”
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The conjugate harmonic functions in problems for the Laplace equation
Published 2014-02-01“…A method of conjugate harmonic functions in solving boundary value problems for Laplace’s equation in two dimensions was developed. …”
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Certain classes of harmonic functions pertaining to special functions
Published 2011-11-01“…Making use of generalized Dziok-Srivastava operator we introduced a new class of complexvalued harmonic functions which are orientation preserving, univalent and starlike in the unit disc. …”
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On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators
Published 2021-12-01Subjects: “…harmonic functions…”
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APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM
Published 2018-01-01Subjects: Get full text
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The atomic decomposition of harmonic functions satisfying certain conditions of integrability
Published 1995-01-01Subjects: Get full text
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Convolution and Coefficient Estimates for (p,q)-Convex Harmonic Functions Associated with Subordination
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Harmonic functions of class of Bazilevi´c type Related to new derivative operator
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A Novel Subclass of Harmonic Functions: Coefficient Bounds, Distortion Bounds, and Closure Properties
Published 2025-04-01Subjects: “…harmonic functions…”
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A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations
Published 2025-04-01Subjects: Get full text
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Growth of the Poisson-Stieltjes integrals in a half-plane (in Ukrainian)
Published 2011-05-01Subjects: “…harmonic function…”
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A New Class of Higher Derivatives for Harmonic Univalent Functions Established using a Generalized Fractional Integral Operator
Published 2024-12-01Subjects: “…Harmonic function, Univalent function, Fractional operator, Higher derivatives…”
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On an interpolation problem on a class of a radially weighted harmonic Bergman space
Published 2025-08-01Subjects: Get full text
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