Results 31 to 40 of about 242 (173)
Mathematics, 2022 In the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function.
Lei Shi +4 more
doaj +1 more source
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 ...
openaire +1 more source
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
openaire +2 more sources
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
doaj +1 more source
An Observation of Rankin on Hankel Determinants
Integers, 2019 See the abstract in the attached pdf.
openaire +3 more sources
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 $E_{14}Δ^4$.
openaire +2 more sources
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
doaj +1 more source
Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective
Advanced Electronic Materials, EarlyView.Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe +4 more
wiley +1 more source
Designing Wire Mazes for Replicating Natural Echoes to Study Bat Biosonar Function
Advanced Intelligent Systems, EarlyView.A validated framework combining efficient physical modeling (multiple scattering model) and deep learning is presented to guide wire‐maze design for bat biosonar studies. This approach rapidly generates large datasets to test acoustic distinguishability among wire arrangements.
Chunlin Jia +3 more
wiley +1 more source
Hankel determinants and orthogonal polynomials
Expositiones Mathematicae, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source