Results 41 to 50 of about 5,232 (228)
On $t$-extensions of the Hankel determinants of certain automatic sequences
, 2014 In 1998, Allouche, Peyri\`ere, Wen and Wen considered the Thue--Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integral numbers.
Fu, Hao, Han, Guo-Niu
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Hankel Determinant for -Valent Alpha-Convex Functions [PDF]
Geometry, 2013 The objective of the present paper is to obtain the sharp upper bound of for p-valent α-convex functions of the form in the unit disc .
Singh, Gagandeep, Mehrok, B. S.
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Constellations and multicontinued fractions: application to Eulerian triangulations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We consider the problem of enumerating planar constellations with two points at a prescribed distance. Our approach relies on a combinatorial correspondence between this family of constellations and the simpler family of rooted constellations, which we ...
Marie Albenque, Jérémie Bouttier
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On the Determinant of a Certain Wiener-Hopf + Hankel Operator
, 2003 We establish an asymptotic formula for determinants of truncated Wiener-Hopf+Hankel operators with symbol equal to the exponential of a constant times the characteristic function of an interval.
Basor, Estelle L. +2 more
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Hankel determinants and orthogonal polynomials
Expositiones Mathematicae, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A determinant characterization of moment sequences with finitely many mass-points
, 2014 To a sequence (s_n)_{n\ge 0} of real numbers we associate the sequence of Hankel matrices \mathcal H_n=(s_{i+j}),0\le i,j \le n. We prove that if the corresponding sequence of Hankel determinants D_n=\det\mathcal H_n satisfy D_n>0 for ...
Berg, Christian, Szwarc, Ryszard
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Hankel determinants of the Cantor sequence [PDF]
SCIENTIA SINICA Mathematica, 2014 In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the help of the Hankel determinants, we prove that the irrationality exponent of the Cantor number, i.e.
Wen, Zhi-xiong, Wu, Wen
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Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
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Fractal and Fractional, 2023 This article extends the study of q-versions of analytic functions by introducing and studying the association of starlike functions with trigonometric cosine functions, both defined in their q-versions.
Yusra Taj +5 more
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Magnetization in the zig-zag layered Ising model and orthogonal polynomials
, 2021 We discuss the magnetization $M_m$ in the $m$-th column of the zig-zag layered 2D Ising model on a half-plane using Kadanoff-Ceva fermions and orthogonal polynomials techniques.
Chelkak, Dmitry +2 more
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