Results 81 to 90 of about 536,183 (317)
Certain Inequalities for a General Class of Analytic and Bi-univalent Functions [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are ...
Arzu Akgul
doaj +1 more source
Estimates for the Initial Coefficients of Bi-univalent Functions [PDF]
arXiv, 2012 A bi-univalent function is a univalent function defined on the unit disk with its inverse also univalent on the unit disk. Estimates for the initial coefficients are obtained for bi-univalent functions belonging to certain classes defined by subordination and relevant connections with earlier results are pointed out.
arxiv
Univalence of horizontal shear of Cesàro type transforms [PDF]
arXiv, 2023 This manuscript investigates the classical problem of determining conditions on the parameters $\alpha,\beta \in \mathbb{C}$ for which the integral transform $$C_{\alpha\beta}[\varphi](z):=\int_{0}^{z} \bigg(\frac{\varphi(\zeta)}{\zeta (1-\zeta)^{\beta}}\bigg)^\alpha\,d\zeta $$ is also univalent in the unit disk, where $\varphi$ is a normalized ...
arxiv
Advanced Materials, Volume 37, Issue 13, April 2, 2025.Leveraging the numerous advantages of ammonium‐ion (NH₄⁺)—including cost‐effectiveness, low corrosiveness, preferential orientation, and rapid diffusion kinetics—aqueous NH₄⁺ batteries (AAIBs) have gained significant attention. This review highlights and evaluates the progress of AAIBs utilizing organic electrode materials such as small molecules ...
Mangmang Shi, Xiaoyan Zhang
wiley +1 more source
On the Existence of Functions being Univalent in Half-plane together with their Derivatives
Nonlinear Analysis, 2001 In articles [1]-[3] a class of functions being univalent in unit disc with all their derivatives was investigated. It was proved such functions exist and must be the entire functions of exponential type.
J. Kirjackis
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Coefficient Estimates for Meromorphic Bi-Univalent Functions [PDF]
arXiv, 2011 A univalent meromorphic function defined on $\Delta:= \{z \in \mathbb{C}: 1<|z|<\infty \}$ with univalent inverse defined on $\Delta$ is bi-univalent meromorphic in $\Delta$. For certain subclasses of meromorphic bi-univalent functions, estimates on the initial coefficients are obtained.
arxiv
1.4% External Quantum Efficiency 988 nm Light Emitting Diode Based on Tin‐Lead Halide Perovskite
Advanced Materials, EarlyView.The tin‐lead based halide perovskite film with the 3‐AMP passivate exhibits a significantly longer carrier lifetime of over 1 µs compared to the neat films (0.43 µs). The optimized tin‐lead halide perovskite LEDs show a single emission peak at 988 nm and an external quantum efficiency (EQE) of ≈1.4%.
Jiale Chen +8 more
wiley +1 more source
Journal of Inequalities and ApplicationsIn recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of S e ∗ $\mathcal{S}^{\ast}_{e}$ for which z f ′ ( z ) / f ( z
Lei Shi +4 more
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Neighborhoods of univalent functions [PDF]
arXiv, 2009 The main result shows a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighborhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro-Warschawski-
arxiv
Advanced Materials, EarlyView.Reversible protonic ceramic electrochemical cells (R‐PCECs) face challenges from sluggish and unstable oxygen reduction and evolution reactions in the air electrode. This review discusses recent progress in triple‐conducting air electrodes, emphasizing mechanisms, performance factors, and design strategies, offering guidance for creating efficient and ...
Xi Chen +8 more
wiley +1 more source