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Hankel continued fractions and Hankel determinants of the Euler numbers [PDF]
Transactions of the American Mathematical Society, 2020 The Euler numbers occur in the Taylor expansion of tan ( x ) + sec ( x ) \tan (x)+\sec (x) . Since Stieltjes, continued fractions and Hankel determinants of the even Euler numbers, on the one hand, of the odd Euler numbers, on the other hand, have been widely ...
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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.
Eğecioğlu, Ömer +2 more
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Bound Associated with Certain Hankel Determinants and Zalcman Conjecture for Multivalent Functions of Bounded Turning [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we investigate for a sharp upper bound to certain generalized second Hankel determinant, the Zalcman conjecture and an upper bound for the third, fourth Hankel determinants for the class of multivalent analytic bounded turning functions ...
Deekonda Vamshee Krishna +3 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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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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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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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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Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions
Fractal and Fractional, 2019 The Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 0 for arbitrary powers N is given by the product of quasi C fractions.
Rathinavel Silambarasan +1 more
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