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
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
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