Chebyshev polynomial bounds for a certain subclass of univalent functions defined by Komatu integral operator
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DOI: 10.1007/s13370-019-00666-3
Abstract: In this work, using the Komatu integral operator, we introduced a new subclass of univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class. read more here.
Keywords: univalent functions; integral operator; chebyshev polynomial; komatu integral ... See more keywords
Some special families of holomorphic and Al-Oboudi type bi-univalent functions related to k-Fibonacci numbers involving modified Sigmoid activation function
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DOI: 10.1007/s13370-020-00850-w
Abstract: The aim of the present paper is to introduce some special families of holomorphic and Al-Oboudi type bi-univalent functions related to k -Fibonacci numbers involving modified Sigmoid activation function $$\phi (s)= \frac{2}{1+e^{-s} },\,s\ge 0$$ ϕ… read more here.
Keywords: type univalent; families holomorphic; univalent functions; special families ... See more keywords
On Landau’s Type Estimates for Coefficients of Univalent Functions
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DOI: 10.1007/s40315-020-00333-w
Abstract: In this article we estimate the sum of coefficients for functions with restrictions on the pre-Schwarzian derivative. We obtain an estimate, which is sharp up to a constant and find upper and lower bounds for… read more here.
Keywords: landau type; coefficients univalent; estimates coefficients; univalent functions ... See more keywords
Certain Subclasses of Meromorphically Bi-Univalent Functions
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DOI: 10.1007/s40840-016-0335-1
Abstract: For real $$\alpha $$α and $$\beta $$β such that $$0 \le \alpha { read more here.
Keywords: certain subclasses; univalent functions; beta; alpha beta ... See more keywords
Univalent functions and Dirichlet-Morrey spaces
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DOI: 10.1080/17476933.2020.1769084
Abstract: This paper concerns univalent analytic functions f for which belong to Dirichlet-Morrey spaces. We establish some characterizations of Dirichlet-Morrey domains. Our results involve Schwarzian derivatives, quasiconformal extensions and Grunsky kernels of univalent functions. read more here.
Keywords: functions dirichlet; morrey spaces; dirichlet morrey; univalent functions ... See more keywords
Exploring Fekete-Szegő inequalities for an admissible class of bi-univalent functions involved Gegenbauer polynomials
Sign Up to like & getrecommendations! Published in 2025 at "Arab Journal of Basic and Applied Sciences"
DOI: 10.1080/25765299.2025.2472472
Abstract: Abstract This paper presents a newly defined subclass of bi-univalent functions linked to the Genenbauer polynomial. The functions in this subclass satisfy specific subordination conditions within a symmetric domain inside the open unit disk. For… read more here.
Keywords: exploring fekete; univalent functions; admissible class; inequalities admissible ... See more keywords
The Bombieri Problem for Bounded Univalent Functions
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DOI: 10.1134/s0001434619030040
Abstract: Bombieri proposed to describe the structure of the sets of values of the initial coefficients of normalized conformal mappings of the disk in a neighborhood of the corner point corresponding to the Koebe function. The… read more here.
Keywords: bombieri problem; bounded univalent; univalent functions; problem bounded ... See more keywords
The Fekete–Szegö problem for a Ma–Minda type class of bi-univalent functions associated with the Hohlov operator
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DOI: 10.1142/s1793557117500528
Abstract: In this paper, we solve Fekete–Szego problem for a Ma–Minda type class MΣa,b,c(λ,ν,ψ1,ψ2) of bi-univalent functions associated with the Hohlov operator which is a specialized case of the widely-inv... read more here.
Keywords: minda type; type class; univalent functions; functions associated ... See more keywords
A New Method for Estimating General Coefficients to Classes of Bi-univalent Functions
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DOI: 10.1155/2024/9889253
Abstract: This study establishes a new method to investigate bounds of ak; k≥n, for certain general classes of bi-univalent functions. The results include a number of improvements and generalizations for well-known estimations. We also discuss bounds… read more here.
Keywords: method estimating; estimating general; univalent functions; classes univalent ... See more keywords
Generalized hypergeometric distribution and its applications on univalent functions
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DOI: 10.1186/s13660-020-02515-5
Abstract: The purpose of the present paper is to introduce a generalized hypergeometric distribution and obtain some necessary and sufficient conditions for generalized hypergeometric distribution series belonging to certain classes of univalent functions associated with the… read more here.
Keywords: generalized hypergeometric; univalent functions; applications univalent; distribution applications ... See more keywords
On the parametric representation of univalent functions on the polydisc
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DOI: 10.1216/rmj-2018-48-3-981
Abstract: We consider support points of the class $S^0(\mathbb{D}^n)$ of normalized univalent mappings on the polydisc $\mathbb{D}^n$ with parametric representation and we prove sharp estimates for coefficients of degree 2. read more here.
Keywords: parametric representation; representation univalent; univalent functions; functions polydisc ... See more keywords