Results 31 to 40 of about 314 (146)
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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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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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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HeliyonIn this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain.
Khaled Matarneh +4 more
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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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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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Halide Perovskite: A Rich Source of Thermal Insulator
Advanced Science, EarlyView.Halide perovskites exhibit ultralow thermal conductivity driven by intrinsic lattice softness and strong anharmonicity, falling below conventional defect‐engineering limits. Weak metavalent bonding, A‐site rattling, and dynamic octahedral tilting drive phonon scattering to the Ioffe–Regel limit, where wave‐like tunneling replaces particle‐like ...
Haolin Ye +3 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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Advanced Science, EarlyView.A new class of lysosome‐directed molecular glue degraders selectively enhance CAPRIN1–APP interactions, driving APP degradation and reducing amyloid‐β production in human neurons and Alzheimer's disease mouse models. This CAPRIN1‐dependent targeted protein degradation strategy reveals a previously unrecognized therapeutic approach for disrupting the ...
Sunghan Jung +15 more
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