Fekete-Szegö Problems for Quasi-Subordination Classes
Abstract and Applied Analysis, 2012 An analytic function f is quasi-subordinate to an analytic function g, in the open unit disk if there exist analytic functions φ and w, with |φ(z)|≤1, w(0)=0 and |w(z)|
Maisarah Haji Mohd, Maslina Darus
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An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
Axioms, 2022 The zero-truncated Poisson distribution is an important and appropriate model for many real-world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to construct a new subclass of analytic bi-univalent functions ...
Feras Yousef +3 more
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Mathematics, 2022 The Miller–Ross-type Poisson distribution is an important model for plenty of real-world applications. In the present analysis, we study and introduce a new class of bi-univalent functions defined by means of Gegenbauer polynomials with a Miller–Ross ...
Ala Amourah +2 more
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A certain subclass of bi-univalent analytic functions introduced by means of the q -analogue of Noor integral operator and Horadam polynomials [PDF]
, 2019 In the present study, by using the Horadam Polnomials and q-analogue of Noor integral oprerator, we target to construct an interesting connection between the geometric function theory and that of special functions.
Akgül, Arzu, Sakar, Fethiye Müge
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Mathematics, 2023 In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-Balancing polynomials. For functions in each of these bi-univalent function subclasses, we derive estimates for the Taylor–Maclaurin coefficients a2 and a3 and ...
Abdulmtalb Hussen, Mohamed Illafe
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Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials [PDF]
Mathematica BohemicaIn the present article, the authors introduce two new subclasses of holomorphic and bi-univalent functions with respect to the symmetric points defined in the domain of open unit disk $\Delta:=\{z \in\mathbb{C} |z|<1\}$ by making use of subordination
Trailokya Panigrahi +2 more
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A Novel Family of Starlike Functions Involving Quantum Calculus and a Special Function [PDF]
The intent of quantum calculus, briefly q-calculus, is to find q-analogues of mathematical entities so that the original object is achieved when a certain limit is taken.
Baseer Gul +3 more
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Sakaguchi type functions defined by balancing polynomials [PDF]
summary:The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients $\vert a_{2}\vert $ and $\vert a_{3}\
Baskaran, Sudharsanan +3 more
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Fekete–Szegö problems for (β, Φ)-spirllike mapping of complex order γ in Banach space
Demonstratio MathematicaIn this paper, we establish the sharp Fekete–Szegö inequalities of functional type over a new class of holomorphic mappings on the unit ball in a complex Banach space. This class includes some important widely studied classes. We offer simpler proofs and
Xiong Liangpeng, Yu Fang, Wang Qingchao
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New subclasses of univalent functions and their properties / Yuzaimi Yunus [PDF]
, 2023 In this thesis, the boundaries of knowledge on geometric function theory is extended with the discovery of interesting new subclasses of univalent functions plus their properties. The main theme of this thesis is establishing these new classes to conform
Yunus, Yuzaimi
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