Results 71 to 80 of about 517,230 (334)

Logarithmic Coefficient Bounds and Coefficient Conjectures for Classes Associated with Convex Functions

open access: yesJournal of Function Spaces, 2021
It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If S denotes the class of functions fz=z+∑n=2∞anzn analytic and univalent in the open unit disk U, then the logarithmic ...
Davood Alimohammadi   +3 more
doaj   +1 more source

1.4% External Quantum Efficiency 988 nm Light Emitting Diode Based on Tin‐Lead Halide Perovskite

open access: yesAdvanced 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

Simple proofs of certain inequalities with logarithmic coefficients of univalent functions [PDF]

open access: yesarXiv, 2023
In this paper we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent functions.
arxiv  

Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

open access: yesAxioms
In 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

Advanced Air Electrodes for Reversible Protonic Ceramic Electrochemical Cells: A Comprehensive Review

open access: yesAdvanced 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 Coefficients of Bi-univalent Functions [PDF]

open access: yesarXiv, 2012
An analytic function $f$ defined on the open unit disk $\mathbb{D}=\{z:|z|<1\}$ is bi-univalent if the function $f$ and its inverse $f^{-1}$ are univalent in $\mathbb{D}$. Estimates for the initial coefficients of bi-univalent functions $f$ are investigated when $f$ and $f^{-1}$ respectively belong to some subclasses of univalent functions.
arxiv  

Estimates of logarithmic coefficients of univalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
In this paper, we derive some consequences of Milin's inequallty for the logarithmic coefficients of a univalent function by exploiting a reformulation of it.
Stephen M. Zemyan
doaj   +1 more source

Recent Advances in Wide‐Bandgap Perovskite Solar Cells

open access: yesAdvanced Materials, EarlyView.
Ubiquitous defects predominately account for photo‐instability and open‐circuit voltage losses in wide‐bandgap perovskite solar cells (WBG PSCs). This review comprehensively presents the underlying impact mechanisms, summarizes the advanced optimization strategies across various functional layers and their interfaces to develop efficient and stable WBG
Jianjun Mei, Feng Yan
wiley   +1 more source

Estimates for the Initial Coefficients of Bi-univalent Functions [PDF]

open access: yesarXiv, 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]

open access: yesarXiv, 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  

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