Application of Einstein Function on Bi-Univalent Functions Defined on the Unit Disc [PDF]
Symmetry, 2022 Motivated by q-calculus, we define a new family of Σ, which is the family of bi-univalent analytic functions in the open unit disc U that is related to the Einstein function E(z). We establish estimates for the first two Taylor–Maclaurin coefficients |a2|, |a3|, and the Fekete–Szegö inequality a3−μa22 for the functions that belong to these families.
Mohamed A Mamon +2 more
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A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers [PDF]
Mathematics, 2019 In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya +2 more
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Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function [PDF]
مجلة بغداد للعلوم, 2023 This paper is interested in certain subclasses of univalent and bi-univalent functions concerning to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
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Subordination Properties of Bi-Univalent Functions Involving Horadam Polynomials [PDF]
Journal of Function SpacesIn this research, we investigate a family of q-extensions defined on an open unit disk, which is based on bi-univalent functions associated with differential subordination.
Ebrahim Amini, Shrideh Al-Omari
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On a new subclass of bi-univalent functions [PDF]
Journal of the Egyptian Mathematical Society, 2013 The authors use the Sălăgean derivative to define two classes of bi-univalent function. Furthermore, they obtain estimates of \(|a_2|\) and \(|a_3|\) for the functions \(f(z)=z+\sum_{i=2}^\infty a_i z^i\) in those classes.
Porwal, Saurabh, Darus, M.
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Maclaurin Coefficient Estimates for New Subclasses of Bi-univalent Functions Connected with a q-Analogue of Bessel Function [PDF]
Abstract and Applied Analysis, 2020 In this paper, we introduce new subclasses of the function class Σ of bi-univalent functions connected with a q-analogue of Bessel function and defined in the open unit disc.
Sheza M. El-Deeb
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Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials
Journal of Mathematics, 2022 In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad +4 more
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Coefficient Bounds for a General Subclass of Bi-Univalent Functions [PDF]
Le Matematiche, 2016 In the present investigation, we introduce and investigate a new subclass of the function class Sigma of bi-univalent functions defined in the open unit disc. We find estimates on the coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in the function class S-Sigma (n, h, lambda).
Yalcin, SİBEL, ALTINKAYA, ŞAHSENE
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Initial Coefficient Estimates for Bi-Univalent Functions Related to Generalized Telephone Numbers [PDF]
Journal of MathematicsThis study defines three novel classes of bi-univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients a2 and a3 and Fekete–Szegö functional problems for functions ...
Gangadharan Murugusundaramoorthy +4 more
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On Bi-Univalent Function Classes Defined via Gregory Polynomials [PDF]
MathematicsIn this paper, we introduce and study a new subclass of bi-univalent functions related to Mittag–Leffler functions associated with Gregory polynomials and satisfy certain subordination conditions defined in the open unit disk.
Ibtisam Aldawish +3 more
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