Results 41 to 50 of about 653 (205)
Journal of Function Spaces, 2021 The goal of this article is to determine sharp inequalities of certain coefficient-related problems for the functions of bounded turning class subordinated with a petal-shaped domain.
Omar M. Barukab +3 more
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Hankel determinants of the Cantor sequence [PDF]
SCIENTIA SINICA Mathematica, 2014 In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the help of the Hankel determinants, we prove that the irrationality exponent of the Cantor number, i.e.
Wen, Zhi-xiong, Wu, Wen
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Some Results Concerned with Hankel Determinant
Kragujevac Journal of Mathematics, 2023 Summary: In this paper, we discuss different versions of the boundary Schwarz lemma and Hankel determinant for \(\mathcal{K}\left( \alpha \right)\) class. Also, for the function \(f(z)=z+c_2z^2+c_3z^3+\cdots\) defined in the unit disc such that \(f\in \mathcal{K(\alpha)}\), we estimate a modulus of the angular derivative of \(f(z)\) function at the ...
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Hankel Determinants of Eisenstein Series [PDF]
, 2001 In this paper we prove Garvan's conjectured formula for the square of the modular discriminant $Δ$ as a 3 by 3 Hankel determinant of classical Eisenstein series $E_{2n}$. We then obtain similar formulas involving minors of Hankel determinants for $E_{2r}Δ^m$, for $m=1,2,3$ and $r=2,3,4,5,7$, and $E_{14}Δ^4$.
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An Observation of Rankin on Hankel Determinants
Integers, 2019 See the abstract in the attached pdf.
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Estimates for Analytic Functions Connected with Hankel Determinant
Ukrainian Mathematical Journal, 2021 UDC 517.5 We give an upper bound of Hankel determinant of the first order for the classes of an analytic function. In addition, an evaluation with the Hankel determinant from below will be given for the second angular derivative of analytic function. For new inequalities, the results of Jack's lemma and Hankel determinant were used.
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Hankel determinants of a Sturmian sequence
AIMS Mathematics, 2022 <abstract><p>Let $ \tau $ be the substitution $ 1\to 101 $ and $ 0\to 1 $ on the alphabet $ \{0, 1\} $. The fixed point of $ \tau $ obtained starting from 1, denoted by $ {\bf{s}} $, is a Sturmian sequence. We first give a characterization of $ {\bf{s}} $ using $ f $-representation.
Haocong Song, Wen Wu
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Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions
Fractal and Fractional, 2022 This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil +6 more
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Performance change detection and recovery in inferential control loops
The Canadian Journal of Chemical Engineering, EarlyView.Abstract In most industrial environments, soft sensors are crucial for estimating variables that are hard to measure. It is critical that these variables be estimated quickly and accurately because they are closely linked to plant safety and profit. Therefore, performance drift in the soft sensors cannot be ignored.
Xuanhui Zhai, Yuri A. W. Shardt
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Constellations and multicontinued fractions: application to Eulerian triangulations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We consider the problem of enumerating planar constellations with two points at a prescribed distance. Our approach relies on a combinatorial correspondence between this family of constellations and the simpler family of rooted constellations, which we ...
Marie Albenque, Jérémie Bouttier
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