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FEKETE-SZEGÖ PROBLEM FOR CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS
VASUDEVARAO, ALLU Korean Mathematical Society 2015 대한수학회보 Vol.52 No.6
For $1{\leq}{\alpha}<2$, let $\mathcal{F}({\alpha})$ denote the class of locally univalent normalized analytic functions $f(z)=z+{\Sigma}_{n=2}^{\infty}{a_nz^n}$ in the unit disk ${\mathbb{D}}=\{z{\in}{\mathbb{C}}:{\left|z\right|}<1\}$ satisfying the condition $Re\(1+{\frac{zf^{{\prime}{\prime}}(z)}{f^{\prime}(z)}}\)>{\frac{{\alpha}}{2}}-1$. In the present paper, we shall obtain the sharp upper bound for Fekete-$Szeg{\ddot{o}}$ functional $|a_3-{\lambda}a_2^2|$ for the complex parameter ${\lambda}$.
Vasudevarao Pasala,Satyanarayana Maddukuri,V. Sethuraman,Rekha Lankipalli,Devi Gajula,Venkateswarlu Manne The Korean Electrochemical Society 2023 Journal of electrochemical science and technology Vol.14 No.3
For electrode stability and the electrochemical performance of the Li-ion cell, it is essential that the active ingredients and unique additives in the polymer binder be well dispersed with the solvent-based slurry. The efficient procedure used to create the slurry affects the rheological characteristics of the electrode slurry. When successively adding different steps of Nmethyl-2-pyrrolidone (NMP) solvent to the cathode composition, it is evenly disseminated. The electrochemical performance of the Li-ion cells and the electrodes made with slurry formed by single step and multiple steps of addition of NMP solvent are examined. To preform rheological properties of cathode electrode slurry on Ni-rich Lithium Nickel-Cobalt-Aluminum Oxide (LiNi<sub>0.80</sub>Co<sub>0.15</sub>Al<sub>0.05</sub>) (NCA). Also, we investigate different step addition of electrode formation and mechanical strength characterization like peel strength. According to the EIS study, a multi-step electrode slurry has lower internal resistance than a single-step electrode slurry, which results in better electrical characteristics and efficiency. Further, microstructure of electrodes is obtained electrochemical performance in the 18650 cylindrical cells with targeted capacity of 1.5 Ah. The slurry of electrodes prepared by single step and multiple steps of addition of NMP solvent and its effect on the fabrication of 1.5 Ah cells. A three-step solvent addition on slurry has been found to be a lower internal resistance than a single-step electrode slurry as confirmed by the EIS analysis, yielding improved electrical properties and efficiency.
FEKETE-SZEG¨O PROBLEM FOR CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS
Allu Vasudevarao 대한수학회 2015 대한수학회보 Vol.52 No.6
For 1 ≤ α < 2, let F(α) denote the class of locally univalent normalized analytic functions f(z) = z + ∑∞ n=2 anzn in the unit disk D = {z ∈ C : |z| < 1} satisfying the condition Re(1 + zf′′(z)/ f′(z)) > α/2 − 1. In the present paper, we shall obtain the sharp upper bound for Fekete- Szeg¨o functional |a3 − λa22 | for the complex parameter λ.