On the logarithmic coefficients of close to convex functions [PDF]
Proceedings of the American Mathematical Society, 2015 For $f$ analytic and close to convex in $D=\{z: |z|< 1\}$, we give sharp estimates for the logarithmic coefficients $γ_{n}$ of $f$ defined by $\log \dfrac{f(z)}{z}=2\sum_{n=1}^{\infty} γ_{n}z^{n}$ when $n=1, 2,3$.
D.K.Thomas
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Toeplitz determinants of logarithmic coefficients for starlike and convex functions
Bulletin des Sciences Mathématiques, 2023 In this study, we deal with the sharp bounds of certain Toeplitz determinants whose entries are the logarithmic coefficients of analytic univalent functions $f$ such that the quantity $z f'(z)/f(z)$ takes values in a specific domain lying in the right half plane.
Surya Giri, S. Sivaprasad Kumar
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On logarithmic coefficients of certain starlike functions related to the vertical strip [PDF]
Journal of Analysis, 2018 In the present paper two certain subclasses of the starlike functions associated with the vertical strip are considered. The main aim of this paper is to investigate some basic properties of these classes such as, subordination relations, sharp ...
Rahim Kargar
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Second Hankel determinant of the logarithmic coefficients for a subclass of univalent functions
Miskolc Mathematical NotesIn the present paper, we give the bounds for the second Hankel determinant of the logarithmic coefficients of a certain subclass of normalized univalent functions, which we have introduced here.
Hari Mohan Srivastava +3 more
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On the curvature in logarithmic plots of rate coefficients for chemical reactions [PDF]
Chemistry Central Journal, 2011 In terms of the reduced potential energy barrier ζ = ΔuTS/kT, the rate coefficients for chemical reactions are usually expressed as proportional to e-ζ.
Canepa Carlo
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Inverse and Logarithmic Coefficient Bounds of Concave Univalent Functions
AxiomsThe concept of coefficient estimates on univalent functions is one of the interesting aspects explored recently by many researchers. Motivated by this direction, in this present work, we obtain the upper bounds of initial inverse coefficients and ...
Kuppusami Sakthivel +2 more
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Second Hankel determinant of logarithmic coefficients of inverse functions in certain classes of univalent functions [PDF]
Lithuanian Mathematical Journal, 2023 The Hankel determinant H2,1Ff-1/2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
Sanju Mandal, M. B. Ahamed
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SECOND-HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS OF CERTAIN ANALYTIC FUNCTIONS
Rocky Mountain Journal of MathematicsWe consider a family of all analytic and univalent functions (i.e., one-to-one) in the unit disk $\mathbb{D}:=\{z\in \mathbb{C}:|z|<1\}$ of the form $f(z)=z+a_2z^2+a_3z^3+\cdots$. In this paper, we obtain the sharp bounds of the second Hankel determinant of Logarithmic coefficients for some subclasses of analytic functions.
Vasudevarao Allu
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The third logarithmic coefficient for the class S [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2020 In this paper we give an upper bound of the third logarithmic coefficient for the class $\mathcal{S}$ of univalent functions in the unit disc.
Milutin OBRADOVIĆ, Nikola TUNESKI
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Some New Inequalities on Laplace–Stieltjes Transforms Involving Logarithmic Growth
Fractal and Fractional, 2022 This article is devoted to exploring the properties on the logarithmic growth of entire functions represented by Laplace–Stieltjes transforms of zero order.
Hongyan Xu, Hong Li, Zuxing Xuan
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