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The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form 𝑓(𝑧)=𝑧ℎ(𝑧)𝑔(𝑧) defined on the open unit disc 𝑈.
Maisarah Haji Mohd, Maslina Darus
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Certain Properties of Some Families of Generalized Starlike Functions with respect to q-Calculus
Abstract and Applied Analysis, 2016 By making use of the concept of q-calculus, various types of generalized starlike functions of order α were introduced and studied from different viewpoints.
Ben Wongsaijai, Nattakorn Sukantamala
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First-Order Differential Subordinations and Their Applications
Axioms, 2023 In this paper, we consider some relations related to the representations of starlike and convex functions, and obtain some sufficient conditions for starlike and convex functions by using the theory of differential subordination.
Ali Ebadian +4 more
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On a subclass of starlike functions associated with a vertical strip domain
Journal of Inequalities and Applications, 2019 In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class ...
Yong Sun +3 more
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Subordinations and Norm Estimates for Functions Associated with Ma-Minda Subclasses
Mathematics, 2022 For a function p analytic in the open unit disc and satisfying p(0)=1, we prove certain subordination implications of the first order differential subordination 1+zp′(z)≺1+Mz, which provides sufficient conditions for a function to belong to various ...
Aaisha Farzana Habibullah +2 more
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Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
International Journal of Mathematics and Mathematical Sciences, 2013 We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 more
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Radius Problems for Starlike Functions Associated with the Tan Hyperbolic Function
Journal of Function Spaces, 2021 The aim of this particular article is at studying a holomorphic function f defined on the open-unit disc D=z∈ℂ ...
Khalil Ullah +4 more
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Research on Geometric Mappings in Complex Systems Analysis
Discrete Dynamics in Nature and Society, 2016 We mainly discuss the properties of a new subclass of starlike functions, namely, almost starlike functions of complex order λ, in one and several complex variables.
Yanyan Cui, Chaojun Wang, Sifeng Zhu
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International Journal of Mathematics and Mathematical Sciences, 1992 By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disc are introduced and some unifying relationships between them are established.
Khalida Inayat Noor
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Brief Study On A New Family of Analytic Functions [PDF]
Sahand Communications in Mathematical AnalysisThe authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory in the open unit disk $\mathbb{
Jamiu Hamzat +2 more
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