Results 11 to 20 of about 1,124 (219)
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.
Masao Ishikawa, Jiang Zeng
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Hankel determinants of a Sturmian sequence
AIMS Mathematics, 2021 <abstract><p>Let $ \tau $ be the substitution $ 1\to 101 $ and $ 0\to 1 $ on the alphabet $ \{0, 1\} $. The fixed point of $ \tau $ obtained starting from 1, denoted by $ {\bf{s}} $, is a Sturmian sequence. We first give a characterization of $ {\bf{s}} $ using $ f $-representation.
Haocong Song, Wen Wu
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Perturbed Hankel determinants [PDF]
Journal of Physics A: Mathematical and General, 2005 In this short note, we compute, for large n the determinant of a class of n x n Hankel matrices, which arise from a smooth perturbation of the Jacobi weight. For this purpose, we employ the same idea used in previous papers, where the unknown determinant, D_n[w_{ , }h] is compared with the known determinant D_n[w_{ , }].
Basor, Estelle, Chen, Yang
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Hankel Determinants, Padé Approximations, and Irrationality Exponents [PDF]
International Mathematics Research Notices, 2015 International Mathematics Research Notices ...
Yann Bugeaud +3 more
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Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid
Journal of Function Spaces, 2021 In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions.
Wali Khan Mashwani +6 more
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Hankel Determinants of Zeta Values [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 We study the asymptotics of Hankel determinants constructed using the values $ (an+b)$ of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.
Haynes, Alan, Zudilin, Wadim
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On Determinant Expansions for Hankel Operators [PDF]
Concrete Operators, 2020 Abstract Let w be a semiclassical weight that is generic in Magnus’s sense, and (
Blower, Gordon, Chen, Yang
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Journal of Mathematics, 2022 This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function.
Farah Zulfiqar +3 more
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HANKEL DETERMINANT OF CERTAIN ORDERS FOR SOME SUBCLASSES OF HOLOMORPHIC FUNCTIONS
Ural Mathematical Journal, 2022 In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized ...
D. Vamshee Krishna, D. Shalini
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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
Emilio Fedele, Martin Gebert
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