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THE BOHR-TYPE INEQUALITIES FOR HOLOMORPHIC MAPPINGS WITH A LACUNARY SERIES IN SEVERAL COMPLEX VARIABLES

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Acta Mathematica Scientia 2023年第1期43卷 63-79页

作者：林柔苑刘名生 saminathan ponnusamy School of Mathematical Sciences South China Normal UniversityGuangzhou510631China Department of Mathematics Indian Institute of Technology MadrasChennai600036India Department of Mathematics Petrozavodsk State Universityul.Lenina 33185910PetrozavodskRussia

In this paper,we mainly use the Frechet derivative to extend the Bohr inequality with a lacunary series to the higher-dimensional space,namely,mappings from Unto U(*** Un).In addition,we discuss whether or not there is a constant term in f,and we obtain two redefined Bohr inequalities in ***,we redefine the Bohr inequality of the odd and even terms of the analytic function f so as to obtain conclusions for two different higher-dimensional alternating series.

关键词： Bohr radius lacunary series high-dimensional space alternating series

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解析函数中的Bohr型不等式的生成

数学学报（中文版） 2023年第3期66卷 455-474页

作者：林柔苑刘名生 saminathan ponnusamy 华南师范大学数学科学学院广州510631 印度理工学院马德拉斯分校数学系清奈600036 罗蒙诺索夫莫斯科国立大学莫斯科基础和应用数学中心莫斯科

利用非负连续函数{ζ_(n)(r)}n≥0加细在单位圆盘|z|<1内满足Ref(z)<1的解析函数类的玻尔半径,和加细在单位圆盘|z|<1内形如∑^(n=0)^(∞)a_(pn+m)z^(pn+m)的解析函数的交错级数A_(f)(r)的玻尔半径.在后一种情况,本文也得到了偶和奇解... 详细信息

利用非负连续函数{ζ_(n)(r)}n≥0加细在单位圆盘|z|<1内满足Ref(z)<1的解析函数类的玻尔半径,和加细在单位圆盘|z|<1内形如∑^(n=0)^(∞)a_(pn+m)z^(pn+m)的解析函数的交错级数A_(f)(r)的玻尔半径.在后一种情况,本文也得到了偶和奇解析函数的玻尔半径的信息.进一步,建立了优级数Mf(r)与f(z)的奇数位和偶数位的关系,并将证明本文的大部分结果都是精确的.

关键词：玻尔半径有界解析函数交错级数玻尔不等式

Gromov双曲Holder区域的边界性质

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数学学报（中文版） 2023年第4期66卷 651-662页

作者：周青山李浏兰李希宁 saminathan ponnusamy 佛山科学技术学院数学与大数据学院佛山528000 衡阳师范学院衡阳421001 中山大学数学系珠海510970 Indian Institute of Technology Madras India 600036 Department of Mathematics Petrozavodsk State UniversityLenina 33185910 PetrozavodskRussia

设Ω■R^(n)是一个满足拟双曲边界条件的Gromov双曲区域.通过使用直径型的Gehring-Hayman不等式和Bonk-Heinonen-Koskela的一致化过程,我们在此文中建立了Ω的内直径边界和Gromov边界的双边H?lder对应关系.作为应用,我们不仅可以得到拟... 详细信息

设Ω■R^(n)是一个满足拟双曲边界条件的Gromov双曲区域.通过使用直径型的Gehring-Hayman不等式和Bonk-Heinonen-Koskela的一致化过程,我们在此文中建立了Ω的内直径边界和Gromov边界的双边H?lder对应关系.作为应用,我们不仅可以得到拟共形映射的内直径边界连续性,也可以得到关于拟双曲度量的拟等距映射在内直径边界的连续性.

关键词： Holder区域 Gromov双曲区域 Holder连续性拟双曲度量

Linear Connectivity, Schwarz–Pick Lemma and Univalency Criteria for Planar Harmonic Mapping

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Acta Mathematica Sinica,English Series 2016年第3期32卷 297-308页

作者： Shao Lin CHEN saminathan ponnusamy Antti RASILA Xian Tao WANG Department of Mathematics and Computational Science Hengyang Normal University Indian Statistical Institute (ISI) Chennai CentreSETS (Society for Electronic Transactions and Security)MGR Knowledge CityCIT Campus Department of Mathematics and Systems Analysis Aalto University Department of Mathematics Shantou University

In this paper, we first establish a Schwarz-Pick lemma for higher-order derivatives of planar harmonic mappings, and apply it to obtain univalency criteria. Then we discuss distortion theorems, Lipschitz continuity an... 详细信息

关键词： Harmonic mapping linearly connected domain Schwarz-Pick lemma a-close-to-convex function John constant univalency

Heterogeneous crystallization of Chlorzoxazone for modulating the physicochemical properties of crystals Author links open overlay panel

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Particuology 2024年第8期91卷 249-259页

作者： Dhayananth Natarajan Kalaichelvi ponnusamy Radhakrishnan Thota Karunakaran Department of Chemical Engineering National Institute of TechnologyTiruchirappalli620015TamilnaduIndia

The polymer on modulating the crystal's habit is an evolving research in pharmaceutical *** study demonstrates the crystal habit modification of chlorzoxazone(CHZ)by heterogeneous crystallization(HC)in the binary solvent acetonitrile-ethanol(A-E(1:1))in the presence of polyvinylpyrrolidine(PVP)at concentrations of 0.50,0.75,and 1.00 wt%.The A-E(1:1)and PVP in HC experiments influenced to change the shape of crystals from needle to plate shape and reduced the crystal size producing a lower aspect ratio(in the range of 1.5-2.3).In the presence of PVP,the CHZ size distribution is 65-78μm which tends to enhance the powder flow-ability of CHZ crystals and as the PVP concentration increases,the nucleation rate *** solubility of size-reduced CHZ crystals at different pH is found to be improved by 1.2-1.4 ***,HC is deemed effective in modifying the physicochemical attributes of CHZ.

关键词： Chlorzoxazone Polyvinylpyrrolidine Heterogeneous crystallization Crystal habit modification Aspect ratio

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线性测度与K-拟共形调和映射

中国科学：数学 2017年第5期47卷 565-574页

作者：陈少林刘刚 ponnusamy saminathan 衡阳师范学院数学与统计学院衡阳421008 Indian Statistical Institute(ISI) Chennai Centre

本文主要讨论调和映射与线性测度之间的关系.首先,证明单位圆周上任意可测集在单叶且保向的调和映射作用下的边界线性测度的最佳偏差定理.其次,建立K-拟共形调和映射的Schwarz型引理,并利用K-拟共形调和映射来刻画M-Lavrentiev域.最后,... 详细信息

本文主要讨论调和映射与线性测度之间的关系.首先,证明单位圆周上任意可测集在单叶且保向的调和映射作用下的边界线性测度的最佳偏差定理.其次,建立K-拟共形调和映射的Schwarz型引理,并利用K-拟共形调和映射来刻画M-Lavrentiev域.最后,讨论具有有限径向长度的K-拟共形调和映射的系数估计以及径向长度与曲线周长之间的比值.

关键词： K-拟共形调和映射面积长度偏差广义Hardy空间 Lavrentiev域

调和函数的Lipschitz型空间和Landau-Bloch型定理

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数学学报（中文版） 2017年第6期60卷 1025-1036页

作者：陈少林 Miodrag MATELJEVIC saminathan ponnusamy 王仙桃衡阳师范学院数学与统计学院衡阳421008 University of Belgrade Faculty of MathematicsStudentski Trg 16 Belgrade11000 Serbia Indian Statistical Institute Chennai CentreSETSMGR Knowledge CityCIT Campus Chennai600113 India 汕头大学数学系汕头515063

主要研究调和函数和Poisson方程的解的性质.讨论了调和函数的Lipschitz型空间,建立了调和函数的Schwarz-Pick型引理,并利用所得结果证明了与调和Hardy空间有关的一个Landau-Bloch型定理.最后,还利用正规族理论讨论了与Poisson方程的解... 详细信息

主要研究调和函数和Poisson方程的解的性质.讨论了调和函数的Lipschitz型空间,建立了调和函数的Schwarz-Pick型引理,并利用所得结果证明了与调和Hardy空间有关的一个Landau-Bloch型定理.最后,还利用正规族理论讨论了与Poisson方程的解有关的Landau-Bloch型定理的存在性.

关键词： Schwarz—Pick型引理调和函数 Lipschitz型空间 Poisson方程

多重调和映射的等周型和Fejer-Riesz型不等式

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中国科学：数学 2014年第2期44卷 127-138页

作者：陈少林 ponnusamy saminathan 王仙桃衡阳师范学院数学与计算科学系衡阳421008 Indian Statistical Institute(ISI) Chennai CentreChennai 600113India 湖南师范大学数学与计算机科学学院长沙410081

本文讨论多重调和映射的等周型和Fejer-Riesz型不等式.首先,本文改进Kalaj和Meˇstrovi′c的相应结果,并将其结果推广到多重调和映射.其次,本文证明Pavlovi′c和Dostani′c的相应结果对于多重调和映射也是成立的.最后,本文建立关于多重... 详细信息

本文讨论多重调和映射的等周型和Fejer-Riesz型不等式.首先,本文改进Kalaj和Meˇstrovi′c的相应结果,并将其结果推广到多重调和映射.其次,本文证明Pavlovi′c和Dostani′c的相应结果对于多重调和映射也是成立的.最后,本文建立关于多重调和映射的Fejer-Riesz型不等式.

关键词：多重调和映射等周型不等式 Hardy类

Hepatocardiorenal syndrome in liver cirrhosis:Recognition of a new entity?

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World Journal of Gastroenterology 2024年第2期30卷 128-136页

作者： Henry H L Wu Amina Rakisheva Arvind ponnusamy Rajkumar Chinnadurai Renal Research Kolling Institute of Medical ResearchRoyal North Shore Hospital&The University of SydneySt.Leonards(Sydney)2065New South WalesAustralia Department of Cardiology City Cardiological CenterAlmaty 050000Kazakhstan Department of Renal Medicine Royal Preston HospitalPreston PR29HTUnited Kingdom Donal O’Donoghue Renal Research Centre&Department of Renal Medicine Northern Care Alliance National Health Service Foundation TrustSalford M68HDUnited Kingdom

Emerging evidence and perspectives have pointed towards the heart playing an important role in hepatorenal syndrome(HRS),outside of conventional understanding that liver cirrhosis is traditionally considered the sole origin of a cascade of pathophysiological mechanisms directly affecting the kidneys in this *** the absence of established heart disease,cirrhotic cardiomyopathy may occur more frequently in those with liver cirrhosis and kidney *** is a specific form of cardiac dysfunction characterized by blunted contractile responsiveness to stress stimuli and altered diastolic relaxation with electrophysiological *** the clinical description of these potential cardiac-related complications of the liver,the role of the heart has traditionally been an overlooked aspect of circulatory dysfunction in *** from a physiological sense,temporality(prior onset)of cardiorenal interactions in HRS and positive effects stemming from portosystemic shunting demonstrated an important role of the heart in the development and progression of kidney dysfunction in cirrhotic *** this review,we discuss current concepts surrounding how the heart may influence the development and progression of HRS,and the role of systemic inflammation and endothelial dysfunction causing circulatory dysfunction within this *** temporality of heart and kidney dysfunction in HRS will be *** a subgroup of patients who receive portosystemic shunting,the dynamics of cardiorenal interactions following treatment is *** research to determine the unknowns in this topic is anticipated,hopefully to further clarify the intricacies surrounding the liver-heart-kidney connection and improve strategies for management.

关键词： Hepatorenal syndrome Cardiorenal syndrome Cirrhosis Cardiac dysfunction Circulatory dysfunction