Results 51 to 60 of about 32,519 (212)
Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions [PDF]
, 2015 In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk U. By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi ...
Eker, Sevtap Sumer +2 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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The (p, q)-chebyshev polynomial bounds of a general bi-univalent function class [PDF]
, 2020 In the present paper, we will define the bi-univalent function class S.,mu S ( p, q) related to the ( p, q)-Chebyshev polynomials. Then we will derive the ( p, q)-Chebyshev polynomial bounds for the initial coefficients and determine Fekete-Szego ...
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A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials [PDF]
, 2023 In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials.
Ala Amourah +3 more
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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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On a coefficient problem for bi-univalent functions [PDF]
Proceedings of the American Mathematical Society, 1967 The function f(z) will be called bi-univalent if both f(z) and f-'(z) are univalent in I zI < 1; f(z) will be said to belong to oiff (i) f(z) CS and (ii) there exists a function g(z) ES such that f(g(z)) =g(f(z)) = z in some neighborhood of the origin. Z. Nehari remarked1 that if 4(Z) =4lz+02z2+ ...
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Cofficient estimates for a general Subclass of bi-univalent functions
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, we introduce and investigate an interesting subclass ${\cal{S}}^{h,p}_{\Sigma}(A,B,C,\lambda)$ of bi-univalent functions in the open unit disk $\mathbb{U}$. Furthermore, we find estimates on the $|a_2|$ and $|a_3|$ coefficients for functions in this subclass. The coefficient bounds presented here generalize some recent works
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QUASI-SUBORDINATIONS FOR A SUBFAMILY OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH K-ANALOGUE OF BESSEL FUNCTION [PDF]
, 2021 In this paper, using by the concept of q-calculus theory, we firstly present a new subfamily of the bi-univalent functions family Sigma associated with k-analouge of Bessel function in the Lambda.
Sakar, F. Muge, Canbulat, Adnan
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Coefficient estimates for a certain subclass of bi-univalent functions
Le Matematiche, 2016 Summary: In the present investigation, we find estimates on the coefficients \(|a_2|\) and \(|a_3|\) for functions in the function class \(S_\Sigma(\lambda,h)\). The results presented in this paper improve or generalize the recent work of \textit{N. Magesh} and \textit{J. Yamini} [Int. Math. Forum 8, No. 25--28, 1337--1344 (2013; Zbl 1283.30030)].
Yalcin, Sibel, Altınkaya, Şahsene
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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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