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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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]
Sahand Communications in Mathematical AnalysisThe present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere +2 more
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Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials
Journal of Function Spaces, 2022 Making use of Horadam polynomials, we propose a special family of regular functions of the type gz=z+∑j=2∞djzj which are bi-univalent (or bi-schlicht) in the disc z∈ℂ ...
Amnah E. Shammaky +2 more
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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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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 a new subclass of bi-univalent functions
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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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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COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS
Проблемы анализа, 2021 The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in 𝔇 = {𝑧 ∈ C : |𝑧| < 1} linked with Gegenbauer polynomials.
S. R. Swamy, S. Yalçın
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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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Lead‐Free Chiral Hybrid Metal Halides for Circularly Polarized Light‐Emitting Diodes
Advanced Optical Materials, EarlyView.Lead‐free chiral hybrid metal halides provide a versatile platform for realizing chiroptical responses through chiral modulation of metal–halide frameworks with diverse dimensionalities, induces inversion‐symmetry breaking and enables dissymmetric excited‐state transitions toward efficient circularly polarized luminescence and electroluminescence. This
Kun Zhu, Li Wan
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