Results 51 to 60 of about 242 (173)
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
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Cross‐Entropy of Power Spectral Density Function: A Modal Identification Framework
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 12, Page 3012-3028, 10 October 2026.ABSTRACT The power spectral density (PSD) function of measured structural response contains a significant amount of information, including the modal parameters (natural frequencies, damping ratios). Output‐only system identification or modal identification technique can be used for extracting such modal parameters from the measured response or its ...
Su‐Hong Kim +3 more
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COEFFICIENT INEQUALITY FOR MULTIVALENT BOUNDED TURNING FUNCTIONS OF ORDER α
Проблемы анализа, 2016 The objective of this paper is to obtain the sharp upper bound to the H_2(p + 1), second Hankel determinant for p-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts) of order α (0 ≤ α
D. Vamshee Krishna, T. RamReddy
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The Hankel Determinants from a Singularly Perturbed Jacobi Weight
Mathematics, 2021 We study the Hankel determinant generated by a singularly perturbed Jacobi weight w(x,s):=(1−x)α(1+x)βe−s1−x,x∈[−1,1],α>0,β>0s≥0. If s=0, it is reduced to the classical Jacobi weight.
Pengju Han, Yang Chen
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Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1629-1644, October 2026.ABSTRACT Purpose To develop a slice‐wise blurring‐free and densely sampled TE‐resolved multiple‐TE (mTE) ASL sequence (TASL) for measuring blood–brain barrier (BBB) water exchange time. Methods A 3D TSE spiral‐readout pCASL sequence was modified to enable TE‐resolved acquisition.
Bo Li +11 more
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Hankel determinant solution for elliptic sequence
Linear Algebra and its Applications, 2015 We show that the Hankel determinants of a generalized Catalan sequence satisfy the equations of the elliptic sequence. As a consequence, the coordinates of the multiples of an arbitrary point on the elliptic curve are expressed by the Hankel determinants.
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More Stabilizing Radiative Feedbacks in CO2 Removal Scenarios
Geophysical Research Letters, Volume 53, Issue 18, 28 September 2026.Abstract Recent studies show that global mean surface temperature exhibits a transient hysteresis during CO2 ${\mathrm{C}\mathrm{O}}_{2}$ removal, where temperatures remain elevated after CO2 ${\mathrm{C}\mathrm{O}}_{2}$ concentrations return to pre‐industrial levels.
Ivan Mitevski, Gabriel A. Vecchi
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Hankel Determinants of the Generalized Factorials
Indian Journal of Pure and Applied Mathematics, 2018 Denote 〈x|d〉 n = x(x + d)(x + 2d) · · · (x + (n - 1)d) for n = 1, 2, · · ·, and 〈x|d〉0 = 1, where 〈x|d〉 n is called the generalized factorial of x with increment d. In this paper, we present the evaluation of Hankel determinants of sequence of generalized factorials.
Sheng-Liang Yang, Yan-Ni Dong
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AxiomsThe study of the Hankel determinant generated by the Maclaurin series of holomorphic functions belonging to particular classes of normalized univalent functions is one of the most significant problems in geometric function theory.
Muhammad Abbas +3 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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