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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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Fractal and Fractional, 2022 This paper deals with a new subclass of univalent function associated with the right half of the lemniscate of Bernoulli. We find the upper bound of the Hankel determinant H3(1) for this subclass by applying the Carlson–Shaffer operator to it.
Najeeb Ullah +5 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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Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu +2 more
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Hankel Determinants, Padé Approximations, and Irrationality Exponents [PDF]
International Mathematics Research Notices, 2015 International Mathematics Research Notices ...
Bugeaud, Yann +3 more
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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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Selberg integrals and Hankel determinants [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In our previous works "Pfaffian decomposition and a Pfaffian analogue of $q$-Catalan Hankel determinants'' (by M.Ishikawa, H. Tagawa and J. Zeng, J. Combin. Theory Ser. A, 120, 2013, 1263-1284) we have proposed several ways to evaluate certain Catalan-Hankel Pffafians and also formulated several conjectures.
Masao Ishikawa, Jiang Zeng
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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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