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Almost Product Evaluation of Hankel Determinants [PDF]
The Electronic Journal of Combinatorics, 2008 An extensive literature exists describing various techniques for the evaluation of Hankel determinants. The prevailing methods such as Dodgson condensation, continued fraction expansion, LU decomposition, all produce product formulas when they are applicable.
Ömer Egecioglu +2 more
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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 +2 more
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Determinants of Hankel Matrices
Journal of Functional Analysis, 2001 18 pages, LaTeX ...
Basor, Estelle L. +2 more
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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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Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]
International Journal of Mathematical, Engineering and Management SciencesThe 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 +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 +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
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The kissing polynomials and their Hankel determinants [PDF]
Transactions of Mathematics and Its Applications, 2021 AbstractIn this paper, we investigate algebraic, differential and asymptotic properties of polynomials $p_n(x)$ that are orthogonal with respect to the complex oscillatory weight $w(x)=\mathrm {e}^{\mathrm {i}\omega x}$ on the interval $[-1,1]$, where $\omega>0$.
Celsus, Andrew +3 more
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The Hankel Determinant of Exponential Polynomials [PDF]
The American Mathematical Monthly, 2000 (2000). The Hankel Determinant of Exponential Polynomials. The American Mathematical Monthly: Vol. 107, No. 6, pp. 557-560.
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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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