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Asymptotic Integration of a Certain Second-Order Linear Delay Differential Equation
We construct some asymptotic formulas for solutions of a certain linear second-order delay differential equation when the independent variable tends to infinity. Two features concerning the considered equation should be emphasized. First, the coefficient
P. N. Nesterov
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Fast parallel calculation of modified Bessel function of the second kind and its derivatives
There are three main types of numerical computations for the Bessel function of the second kind: series expansion, continued fraction, and asymptotic expansion. In addition, they are combined in the appropriate domain for each.
Takashi Takekawa
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Explicit Relativistic Vortex Solutions for Cool Two-Constituent Superfluid Dynamics [PDF]
We give a class of explicit solutions for the stationary and cylindrically symmetric vortex configurations for a ``cool'' two-component superfluid (i.e. superfluid with an ideal gas of phonons).
Carter, Brandon, Langlois, David
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The paper investigates the Hoeffding–Sobol decomposition of homogeneous co-survival functions. For this class, the Choquet representation is transferred to the terms of the functional decomposition, and in addition to their individual variances, or to ...
Mercadier Cécile, Ressel Paul
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The asymptotic solution of the elasticity theory problem for a radially inhomogeneous cylinder
The elasticity theory problem for a radially inhomogeneous cylinder of small thickness, whose elastic moduli are arbitrary continuous functions depending on the radius of the cylinder, is considered. It is assumed that the side surface of the cylinder is
Natiq K. Akhmedov
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We consider goodness-of-fit tests of symmetric stable distributions based on weighted integrals of the squared distance between the empirical characteristic function of the standardized data and the characteristic function of the standard symmetric ...
Akimichi Takemura +23 more
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Spectral analysis of the matrix Sturm–Liouville operator
The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
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A theorem about asymptotic estimation of multiple integral of a special type is proved for the case when the integrand peaks at the integration domain bound, but not at a point of extremum.
A F Krutov +9 more
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Thermodynamics of Einstein-Proca AdS Black Holes [PDF]
We study static spherically-symmetric solutions of the Einstein-Proca equations in the presence of a negative cosmological constant. We show that the theory admits solutions describing both black holes and also solitons in an asymptotically AdS ...
Liu, Hai-Shan, Lu, H., Pope, C. N.
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Uniform asymptotic methods for integrals
31 pages, 3 ...
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