Notes on the results of lower bounds for a class of harmonic functions in the half space
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DOI: 10.2298/fil1808991s
Abstract: In this note, we point out several gaps in the paper “On the lower bound for a class of harmonic functions in the half space” by Zhang, Deng and Kou (Acta Math. Sci. Ser. B… read more here.
Keywords: harmonic functions; space; functions half; class harmonic ... See more keywords
On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator
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DOI: 10.3390/math6120312
Abstract: In this article, a new class of harmonic univalent functions, defined by the differential operator, is introduced. Some geometric properties, like, coefficient estimates, extreme points, convex combination and convolution (Hadamard product) are obtained. read more here.
Keywords: differential operator; defined differential; class harmonic; univalent functions ... See more keywords
Applications of Symmetric Quantum Calculus to the Class of Harmonic Functions
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DOI: 10.3390/sym14102188
Abstract: In the past few years, many scholars gave much attention to the use of q-calculus in geometric functions theory, and they defined new subclasses of analytic and harmonic functions. While using the symmetric q-calculus in… read more here.
Keywords: applications symmetric; symmetric quantum; class harmonic; quantum calculus ... See more keywords
Close-to-convexity of a class of harmonic mappings defined by a third-orderdifferential inequality
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DOI: 10.3906/mat-2004-50
Abstract: Abstract: In this paper, we consider a class of normalized harmonic functions in the unit disk satisfying a third-order differential inequality and we investigate several properties of this class such as close-to-convexity, coefficient bounds, growth… read more here.
Keywords: inequality; convexity class; class harmonic; close convexity ... See more keywords