Inequalities of harmonic univalent functions with connections of hypergeometric functions
Open Mathematics, 2015 Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH(
Sokół Janusz +3 more
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On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator
Axioms, 2020 In this paper, a subclass of complex-valued harmonic univalent functions defined by a generalized linear operator is introduced. Some interesting results such as coefficient bounds, compactness, and other properties of this class are obtained.
Abdeljabbar Talal Yousef +1 more
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New subclass of meromorphic harmonic functions defined by symmetric q-calculus and domain of Janowski functions [PDF]
HeliyonIn this article, by applying the convolution principle and symmetric q-calculus, we develop a new generalized symmetric q-difference operator of convolution type, which is applicable in the domain E⁎={τ:τ∈C and ...
Ahmad A. Abubakar +4 more
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On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator
Mathematics, 2018 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.
Aqeel Ketab AL-khafaji +2 more
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Spirallikeness properties on Salagean-type harmonic univalent functions [PDF]
Journal of Mahani Mathematical Research, 2022 . In this paper, we define and investigate a new class of spirallike harmonic functions defined by a Salagean differential operator and we obtain a coefficient inequality for the functions in this class.
Ebrahim Amini
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Journal of Function Spaces, 2022 We preface and examine classes of (p, q)-convex harmonic locally univalent functions associated with subordination. We acquired a coefficient characterization of (p, q)-convex harmonic univalent functions.
Hasan Bayram, Sibel Yalçın
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A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation [PDF]
Sahand Communications in Mathematical Analysis, 2021 We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness, radius of convexity.
Deeplai Khurana +3 more
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On convolutions of slanted half-plane mappings
Journal of Taibah University for Science, 2021 The convolution of convex harmonic univalent functions in the unit disk, unlike analytic functions, may not be convex or even univalent. The main purpose of this work is to develop previous work involving the convolution of convex harmonic functions ...
Elif Yaşar
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On Convolution and Convex Combination of Harmonic Mappings
Journal of Mathematics, 2021 In this paper, the subclass of harmonic univalent functions by shearing construction is studied and this subclass of harmonic mappings needs a necessary and adequate condition to be convex in the horizontal direction.
Ahmad Sulaiman Ahmad El-Faqeer +2 more
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Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator
Mathematics, 2023 In this paper, the harmonic function related to the q-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects
Gangadharan Murugusundaramoorthy +3 more
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