Results 81 to 90 of about 537,864 (334)
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
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
Certain Aspects of Univalent Function with Negative Coefficients Defined by Bessel Function
Brazilian Archives of Biology and TechnologyKey words: In recent years, applications of Bessel functions have been effectively used in the modelling of chemical engineering processes and theory of univalent functions.In this paper, we study a new class of analytic and univalent functions with ...
Chellakutti Ramachandran +2 more
doaj +1 more source
Bi-Univalent Function Classes Defined by Using a Second Einstein Function
Journal of Function Spaces, 2022 Motivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane.
Alaa H. El-Qadeem +2 more
doaj +1 more source
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
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
Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions
AxiomsIn this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced.
P. Gurusamy +3 more
doaj +1 more source
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
On a coefficient problem for bi-univalent functions [PDF]
, 1967 Mordechai Lewin
openalex +2 more sources