Journal ArticleDOI
Integral Representations and Coefficient Estimates for a Subclass of Meromorphic Starlike Functions
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In this paper, a natural subclass of meromorphic star-like functions in the open unit disk is introduced and results concerning subordination properties, integral representations, properties of convolutions, inclusion relationship and coefficient inequalities for the functions of this class are derived.Abstract:
In this paper, we introduce a natural subclass of meromorphic starlike functions in the open unit disk. Results concerning subordination properties, integral representations, properties of convolutions, inclusion relationship and coefficient inequalities for the functions of this class are derived. Furthermore, we solve radius problems for certain related classes of meromorphic strongly starlike functions and meromorphic parabolic starlike functions.read more
Citations
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Hadamard products of certain classes of p -valent starlike functions
Jin-Lin Liu,Rekha Srivastava +1 more
TL;DR: In this article, several convolution properties for two subclasses of p-valent star-like functions are considered. But they are not considered in this paper, and they are considered in the context of star functions.
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Some Families of Analytic Functions in the Upper HalfPlane and Their Associated Differential Subordination and Differential Superordination Properties and Problems
TL;DR: In this paper, the authors consider the problem of determining properties of functions p(z) that satisfy the following differential superordination: Ω ⊂ { ψ (p(z), p(s), pz, p(x), x, x ) : z∈ ∆ }.
Journal ArticleDOI
Subordination Implications and Coefficient Estimates for Subclasses of Starlike Functions
TL;DR: In this paper, the authors considered various subclasses of star-like functions, which are defined by subordination, and obtained several subordination implications related to these subclasses and some coefficient bounds for functions belonging to some subclasses.
Journal ArticleDOI
Integral transforms and partial sums of certain p -valent starlike functions
TL;DR: In this article, two new subclasses of the class of p-valent star-like functions in the open unit disk were introduced and investigated systematically, and several such properties as (for example) inclusion relations, integral transforms, partial sums and distortion bounds for each of these subclasses were obtained.
Journal ArticleDOI
On a subclass of starlike functions associated with a vertical strip domain
TL;DR: In this article, a subclass of starlike functions associated with a vertical strip domain is considered and integral representations, convolutions, and coefficient inequalities for functions belonging to this class are obtained.
References
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Journal ArticleDOI
Certain classes of meromorphic multivalent functions
TL;DR: Two new classes of meromorphic multivalent functions are introduced and results as subordination properties, coefficient inequalities, convolution properties and integral representations are proved.
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A class of integral operators preserving subordination and superordination for meromorphic functions
TL;DR: Several subordination- and superordination-preserving properties of a certain class of integral operators, which are defined on the space of meromorphic functions in the punctured open unit disk are investigated.
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Convex and starlike meromorphic functions
TL;DR: In this paper, the equality of two classes of star-like meromorphic univalent functions with a simple pole at p which map the unit disk onto the exterior of convex or starlike sets was studied.
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Some convolution conditions for starlikeness and convexity of meromorphically multivalent functions
Jin-Lin Liu,Hari M. Srivastava +1 more
TL;DR: By making use of the Hadamard product (or convolution), the authors derive necessary and sufficient conditions for a suitably normalized meromorphically p-valent function to be in the familiar classes of meromorphicp-valently starlike and meromorphic p- valently convex functions in the punctured unit disk.