Results 21 to 30 of about 7,436 (197)

The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions

Journal of Mathematical and Fundamental Sciences, 2019
Hankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them.
Mohammad Hasan Khani, Ahmad Zireh, Ebrahim Analouei Adegani   +2 more
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Determinants of Hankel Matrices

Journal of Functional Analysis, 2001
18 pages, LaTeX ...
Basor, Estelle L., Chen, Yang, Widom, Harold   +2 more
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An Interesting Class of Hankel Determinants [PDF]

, 2020
For small $r$ the Hankel determinants $d_r(n)$ of the sequence $\left({2n+r\choose n}\right)_{n\ge 0}$ are easy to guess and show an interesting modular pattern. For arbitrary $r$ and $n$ no closed formulae are known, but for each positive integer $r$ the special values $d_r(rn)$, $d_r(rn+1)$, and $d_r(rn+\lfloor\frac{r+1}{2}\rfloor)$ have nice values ...
Cigler, Johann, Tyson, Mike
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Evaluation of some Hankel determinants

Advances in Applied Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Q.-H., Lascoux, Alain, Mu, Y.-P.
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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 Random Moment Sequences [PDF]

Journal of Theoretical Probability, 2016
Keyword and Phrases: Hankel determinant, random moment sequences, weak convergence, large deviation principle, canonical moments, arcsine distribution AMS Subject Classification: 60F05, 60F10, 30E05 ...
Dette, Holger, Tomecki, Dominik
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Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

International Journal of Mathematical, Engineering and Management Sciences
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam   +3 more
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Hankel Determinants, Padé Approximations, and Irrationality Exponents [PDF]

International Mathematics Research Notices, 2015
International Mathematics Research Notices ...
Bugeaud, Yann, Han, Guo-Niu, Wen, Zhi-Ying, Yao, Jia-Yan   +3 more
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Applications of Modified Sigmoid Functions to a Class of Starlike Functions

Journal of Function Spaces, 2020
The main focus of this investigation is the applications of modified sigmoid functions. Due to its various uses in physics, engineering, and computer science, we discuss several geometric properties like necessary and sufficient conditions in the form of
Muhammad Ghaffar Khan, Bakhtiar Ahmad, Gangadharan Murugusundaramoorthy, Ronnason Chinram, Wali Khan Mashwani   +4 more
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A Study of Fourth-Order Hankel Determinants for Starlike Functions Connected with the Sine Function

Journal of Function Spaces, 2021
In this paper, upper bounds for the fourth-order Hankel determinant H41 for the function class Ss∗ associated with the sine function are given.
Hai-Yan Zhang, Huo Tang
doaj   +1 more source