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Published in 2023 at "Bulletin of the Australian Mathematical Society"
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.
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Keywords:
third hankel;
determinant inverse;
hankel determinant;
inverse coefficients ... See more keywords
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Published in 2019 at "Mathematics"
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…
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Keywords:
cardioid domain;
third hankel;
certain subfamilies;
analytic functions ... See more keywords
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1
Published in 2019 at "Symmetry"
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…
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Keywords:
starlike functions;
upper bound;
bound third;
third hankel ... See more keywords
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2
Published in 2022 at "Symmetry"
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.…
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Keywords:
upper bounds;
third hankel;
bounds third;
hankel determinant ... See more keywords