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Axioms, 2022 The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of ...
Sevtap Sümer Eker +3 more
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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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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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On determinants identity minus Hankel matrix [PDF]
Bulletin of the London Mathematical Society, 2019 In this note, we study the asymptotics of the determinant $\det(I_N - H_N)$ for $N$ large, where $H_N$ is the $N\times N$ restriction of a Hankel matrix $H$ with finitely many jump discontinuities in its symbol satisfying $\|H\|\leq 1$. Moreover, we assume $ \in\mathbb C$ with $| |<1$ and $I_N$ denotes the identity matrix. We determine the first
Martin Gebert +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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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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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 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 ...
Dominik Tomecki, Holger Dette
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Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities [PDF]
Annals of Mathematics, 2011 43 pages, 3 figures, extended ...
Deift, P, Its, A, Krasovsky, I
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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.
Timothy Redmond +2 more
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