Results 41 to 50 of about 163,116 (227)
Integral transforms involving a generalized k-Bessel function
Demonstratio Mathematica, 2023 The main goal of this study was to look into some new integral transformations that are associated with a generalized kk-Bessel function. Integral formulas for the generalized kk-Bessel function have been established using the Laplace transform, Euler ...
Khammash Ghazi S. +4 more
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On Recovery of the Singular Differential Laplace—Bessel Operator from the Fourier–Bessel Transform
Mathematics, 2023 This paper is devoted to the problem of the best recovery of a fractional power of the B-elliptic operator of a function on R+N by its Fourier–Bessel transform known approximately on a convex set with the estimate of the difference between Fourier–Bessel
Sergey M. Sitnik +3 more
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Three tests of general relativity via Fermat's principle and the phase of Bessel functions
, 2003 Fermat's principle applied to a flat metric in the plane yields the phase of a Bessel function in the periodic domain for a constant index of refraction.
B.H. Lavenda +14 more
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Respiratory‐Limbic Coupling via a Thalamic Circuit Alleviates Anxiety
Advanced Science, EarlyView.This study delineates a conserved preBötCGlu→PVT→CeA circuit that gates anxiety and respiration. Activation of this circuit is anxiolytic and respiratory‐stabilizing, while its inhibition has the opposite effect. Mechanistically, PVT exerts its anxiolytic action via a disinhibitory microcircuit: its inputs preferentially target CeL GABAergic neurons ...
Shangyu Bi +15 more
wiley +1 more source
On polynomials connected to powers of Bessel functions
, 2013 The series expansion of a power of the modified Bessel function of the first kind is studied. This expansion involves a family of polynomials introduced by C. Bender et al. New results on these polynomials established here include recurrences in terms of
Moll, Victor H., Vignat, C.
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Advanced Science, EarlyView.This study shows that amyloid fibrils form nematic condensates via liquid–liquid crystalline phase separation (LLCPS). With increasing pH, this transition shifts toward disordered condensates formed through liquid–liquid phase separation (LLPS), in which birefringence with lack of a coherent nematic field symmetry originates from enthalpic fibril ...
Milad Radiom, Raffaele Mezzenga
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The Extended Bessel-Maitland Function and Integral Operators Associated with Fractional Calculus
Journal of Mathematics, 2020 The aim of this paper is to introduce a presumably and remarkably altered integral operator involving the extended generalized Bessel-Maitland function. Particular properties are considered for the extended generalized Bessel-Maitland function connected ...
Kelelaw Tilahun +2 more
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Neural Fields for Highly Accelerated 2D Cine Phase Contrast MRI
Advanced Science, EarlyView.ABSTRACT 2D cine phase contrast (CPC) MRI provides quantitative information on blood velocity and flow within the human vasculature. However, data acquisition is time‐consuming, motivating the reconstruction of the velocity field from undersampled measurements to reduce scan times. In this work, neural fields are proposed as a continuous spatiotemporal
Pablo Arratia +7 more
wiley +1 more source
, 2015 This paper derives new integral representations for products of two parabolic cylinder functions. In particular, expressions are obtained for D_{nu}(x)D_{mu}(y), with x>0 and y>0, that allow for different orders and arguments in the two parabolic ...
Veestraeten, Dirk
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Advanced Science, EarlyView.Cyclic nucleotide‐gated (CNG) and hyperpolarization‐activated cyclic nucleotide‐gated (HCN) channels share substantial sequence and structural similarity but differ markedly in ion conductance and K+ selectivity. Microsecond‐scale atomistic MD simulations qualitatively reproduced the conductance differences observed in single‐channel recordings and ...
Haoran Liu +3 more
wiley +1 more source