Results 51 to 60 of about 3,690,143 (190)
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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Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions
Science Journal of University of Zakho, 2022 This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah +1 more
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MathematicsThe study of coefficient problems for bi-univalent functions continues to play a central role in geometric function theory due to its analytical depth and wide range of applications.
Mohamed Illafe +2 more
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$q$--Rabotnov Functions and Bi-univalent Functions
European Journal of Pure and Applied MathematicsIn this work, we introduce and investigate a new subclass of bi-univalent functions, denoted by $\mathfrak{R}_{\Sigma}^{\mu,x}(\varrho,\varphi,\lambda;\gamma;q)$, which is defined through the interplay between $q$--Rabotnov functions and $q$--Gegenbauer polynomials.
Abdullah Alsoboh +4 more
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Axioms, 2023 A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained.
Likai Liu, Jie Zhai, Jin-Lin Liu
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ON SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS
, 2021 In this study, we introduce and investigate two new subclasses of the biunivalent functions which both f (z) and f(-1) (z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients vertical bar a(m+1)vertical bar and vertical bar a(2m+1)vertical bar are found in this investigation.
Şeker, Bilal, Taymur, İdris
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Exploring Bi-Univalent Classes via q-Derivatives and Bivariate Fibonacci Polynomials
MathematicsThe q-calculus framework has emerged as a powerful tool in geometric function theory, enabling refined analysis of analytic and bi-univalent functions.
Aruna Mogarala Guruvaya +3 more
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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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Second Hankel Determinant of Bi-univalent Functions
Malaysian Journal of Fundamental and Applied Sciences, 2023 Let be the class of functions which are analytic in the open unit disk and having the form . Denote to be the class for all functions in that are univalent in . Then, let denote the class of bi-univalent functions in . In this paper, we obtain the second Hankel determinant for certain classes of analytic bi-univalent function which are defined by ...
Kiu Shu Huey +3 more
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Mathematics, 2023 This paper presents a new general subfamily NΣmu,v(η,μ,γ,ℓ) of the family Σm that contains holomorphic normalized m-fold symmetric bi-univalent functions in the open unit disk D associated with the Ruscheweyh derivative operator.
Pishtiwan Othman Sabir +5 more
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