Results 71 to 80 of about 63,594 (263)

Coefficient estimates for a subclass of analytic and bi-univalent functions

Journal of the Egyptian Mathematical Society, 2015
AbstractIn the present investigation, we consider a new subclass Σ(τ,γ,φ) of the class Σ consisting of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class Σ(τ,γ,φ) introduced here, we obtain estimates on the first two Taylor–Maclaurin coefficients |a2| and |a3|.
Deepak Bansal, Hari M. Srivastava
openaire   +2 more sources

Hydrophobic Deep Eutectic Solvent (DES) Design Enables Optimally Hydrated DES‐in‐Water Electrolytes for High‐Performance Bromine Redox‐Enhanced Energy Storage Systems

Advanced Functional Materials, EarlyView.
Faradaic charging with bromine redox chemistry shows promise for energy storage, yet its efficient use in aqueous electrolytes is hindered by water decomposition and polybromides' cross‐diffusion, leading to suboptimal cell performance. This study introduces a tetrabutylammonium bromide‐based hydrated deep eutectic electrolyte with optimized water ...
Tae Pyeong Eom, Gunwoo Lee, Young Hun Cho, Younjee Lim, Seung Joon Yoo   +4 more
wiley   +1 more source

Perturbation theorems for Hele-Shaw flows and their applications

, 2010
In this work, we give a perturbation theorem for strong polynomial solutions to the zero surface tension Hele-Shaw equation driven by injection or suction, so called the Polubarinova-Galin equation.
B. Gustafsson, B. Gustafsson, B. Gustafsson, C. Pommerenke, E. Vondenhoff, M. Reissig, M. Sakai, O. S. Kuznetsova, S. Richardson, W. Rudin, Yu-Lin Lin   +10 more
core   +1 more source

New Subclasses of Bi-Univalent Functions Associated with Exponential Functions and Fibonacci Numbers

مجلة بغداد للعلوم
Lewin discussed the class  of bi-univalent functions and obtained the bound for the second coefficient, Sakar and Wanas defined two new subclasses of bi-univalent functions and obtained upper bounds for the elementary coefficients |a2| and |a3| for ...
Majd Ayash, Hassan Baddour, Mohammad Ali, Abbas Kareem Wanas   +3 more
doaj   +1 more source

Second Hankel Determinant for a New Subclass of Bi-Univalent Functions Related to the Hohlov Operator

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
doaj   +1 more source

On certain subclasses of analytic and bi-univalent functions

Journal of the Egyptian Mathematical Society, 2016
AbstractIn this paper, we introduced two interesting subclasses of the function class σ of analytic and bi-univalent functions in the open unit disk U. Estimates on the first two Taylor–Maclaurin coefficients |a2| and |a3| for functions belonging to these classes are determined. Certain special cases are also indicated.
openaire   +3 more sources

Self‐Poled Halide Perovskite Ruddlesden‐Popper Ferroelectric‐Photovoltaic Semiconductor Thin Films and Their Energy Harvesting Properties

Advanced Functional Materials, EarlyView.
Low‐dimensional halide perovskite thin films, (BA)2(MA)n‐1PbnBr3n+1 (n = 1, 2), exhibit both semiconducting and ferroelectric properties, enabling mechanical and light energy harvesting. Using Cr/Cr₂O₃ or PCBM as barrier layers ensures reproducible ferroelectricity.
Raja Sekhar Muddam, Shaoyang Wang, Nirmal Prashanth Maria Joseph Raj, Qingping Wang, Philip Wijesinghe, Julia Payne, Matthew S. Dyer, Chris Bowen, Lethy Krishnan Jagadamma   +8 more
wiley   +1 more source

Second Hankel Determinant for Strongly Bi-Starlike of order α [PDF]

, 2018
Let A denote the class of functions f (z) = z + ∞ n=2 anz n which are analytic in the open unit disc U = {z : |z| < 1}. Let S denote the class of all functions in A that are univalent in U.
Aini Janteng, Chow Li Yong, Suzeini Abd. Halim   +2 more
core   +1 more source

Transducer Materials Mediated Deep Brain Stimulation in Neurological Disorders

Advanced Functional Materials, EarlyView.
This review discusses advanced transducer materials for improving deep brain stimulation (DBS) in neurological disorders. These materials respond to light, ultrasound, or magnetic fields, enabling precise, less invasive neuromodulation. Their stimulus‐responsive properties enhance neural control and adaptive therapy, paving the way for next‐generation ...
Di Zhao, Zhengyang Cao, Guangjun Zhong, Limin Shi, Junxia Xie, Jianhua Hao   +5 more
wiley   +1 more source

Subclasses of bi-univalent functions defined by convolution

Journal of the Egyptian Mathematical Society, 2014
AbstractIn this paper, we introduced two new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we find estimates on the coefficients ∣a2∣ and ∣a3∣ for functions in these new subclasses.
openaire   +3 more sources