On Sharp Bound of the Third Hankel Determinant for Functions in đźâ(α)
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DOI: 10.1002/mma.11091
Abstract: In this paper, we provide an estimation for the sharp bound of the thirdâorder Hankel determinant of starlike functions of order α$$ \alpha $$ , where α$$ \alpha $$ ranges in the interval [0,1/6]$$ \left[0,1/6\right]… read more here.
Keywords: sharp bound; determinant functions; third hankel; hankel determinant ... See more keywords
THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
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DOI: 10.1017/s0004972717001125
Abstract: We prove the sharp inequality $|H_{3,1}(f)|\leq 4/135$ for convex functions, that is, for analytic functions $f$ with $a_{n}:=f^{(n)}(0)/n!,~n\in \mathbb{N}$ , such that $$\begin{eqnarray}Re\bigg\{1+\frac{zf^{\prime \prime }(z)}{f^{\prime }(z)}\bigg\}>0\quad \text{for}~z\in \mathbb{D}:=\{z\in \mathbb{C}:|z| read more here.
Keywords: bound hankel; sharp bound; hankel determinant; convex functions ... See more keywords
THE THIRD HANKEL DETERMINANT FOR INVERSE COEFFICIENTS OF CONVEX FUNCTIONS
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DOI: 10.1017/s0004972723000357
Abstract: The sharp bound for the third Hankel determinant for the coefficients of the inverse function of convex functions is obtained, thus answering a recent conjecture concerning invariance of coefficient functionals for convex functions. read more here.
Keywords: third hankel; determinant inverse; hankel determinant; inverse coefficients ... See more keywords
Hankel determinant of order three for familiar subsets of analytic functions related with sine function
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DOI: 10.1515/math-2019-0132
Abstract: Abstract In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to… read more here.
Keywords: order three; familiar subsets; analytic functions; subsets analytic ... See more keywords
Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions
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DOI: 10.3390/axioms11080369
Abstract: The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to… read more here.
Keywords: logarithmic coefficients; bounds second; hankel determinant; sharp bounds ... See more keywords
A Study of Third Hankel Determinant Problem for Certain Subfamilies of Analytic Functions Involving Cardioid Domain
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DOI: 10.3390/math7050418
Abstract: In the present article, we consider certain subfamilies of analytic functions connected with the cardioid domain in the region of the unit disk. The purpose of this article is to investigate the estimates of the… read more here.
Keywords: cardioid domain; third hankel; certain subfamilies; analytic functions ... See more keywords
Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions
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DOI: 10.3390/sym11030347
Abstract: The main purpose of this article is to find the upper bound of the third Hankel determinant for a family of q-starlike functions which are associated with the Ruscheweyh-type q-derivative operator. The work is motivated… read more here.
Keywords: starlike functions; upper bound; bound third; third hankel ... See more keywords
Fourth Hankel Determinant Problem Based on Certain Analytic Functions
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DOI: 10.3390/sym14040663
Abstract: : In recent years, the Hankel determinant bounds for different subclasses of analytic, starlike and symmetric starlike functions have been discussed and studied by the many well-known authors. In this paper, we ïŹrst consider a… read more here.
Keywords: fourth hankel; based certain; determinant problem; hankel determinant ... See more keywords
Upper Bounds of the Third Hankel Determinant for Close-to-Convex Functions
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DOI: 10.3390/sym14050885
Abstract: In this paper, the third Hankel determinant for the class N of functions convex in one direction is estimated. An analogous problem is solved for a subclass of N consisting of functions with real coefficients.… read more here.
Keywords: upper bounds; third hankel; bounds third; hankel determinant ... See more keywords
Second Hankel Determinant and Fekete-Szegö Problem for a New Class of Bi-Univalent Functions Involving Euler Polynomials
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DOI: 10.3390/sym16050530
Abstract: Orthogonal polynomials have been widely employed by renowned authors within the context of geometric function theory. This study is driven by prior research and aims to address the âFekete-Szegö problem. Additionally, we provide bound estimates… read more here.
Keywords: univalent functions; euler polynomials; szeg problem; hankel determinant ... See more keywords