Results 31 to 40 of about 131,766 (286)
Features of Oscillations in Adiabatic Oscillators with Delay
Моделирование и анализ информационных систем, 2013 In this paper, we describe the features of oscillations in adiabatic oscillators when the delay is introduced into the equation. We give a short description of the method of asymptotic integration of one class of linear delay differential systems in the ...
P. N. Nesterov, E. N. Agafonchikov
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The inverse of tails of Riemann zeta function, Hurwitz zeta function and Dirichlet L-function
AIMS MathematicsIn this paper, we derive the asymptotic formulas $ B^*_{r, s, t}(n) $ such that $ \mathop{\lim} \limits_{n \rightarrow \infty} \left\{ \left( \sum\limits^{\infty}_{k = n} \frac{1}{k^r(k+t)^s} \right)^{-1} - B^*_{r,s,t}(n) \right\} = 0, $ where $
Zhenjiang Pan, Zhengang Wu
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Journal of Inequalities and Applications, 2020 Several conjectures posed by Qi on completely monotonic degrees of remainders for the asymptotic formulas of the digamma and trigamma functions are proved.
Ai-Min Xu, Zhong-Di Cen
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Asymptotic Formulas and Generalized Dedekind Sums [PDF]
Experimental Mathematics, 1998 We find asymptotic formulas as $n\to\infty$ for the coefficients $a(r\hbox{,}\,n)$ defined by $$ \prod_{\nu=1}^\infty\,(1-x^\nu)^{-\nu^r} =\sum_{n=0}^\infty a(r\hbox{,}\,n)x^n\hbox{.} $$ (The case $r=1$ gives the number of plane partitions of $n$.) Generalized Dedekind sums occur naturally and are studied using the Finite Fourier Transform. The methods
openaire +2 more sources
Spectral analysis of the matrix Sturm–Liouville operator
Boundary Value Problems, 2019 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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Divisor Problems Related to Hecke Eigenvalues in Three Dimensions
Journal of Mathematics, 2021 In this paper, we consider divisor problems related to Hecke eigenvalues in three dimensions. We establish upper bounds and asymptotic formulas for these problems on average.
Jing Huang, Huafeng Liu
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, 2003 NDE (Near-dissociation expansion) including LeRoy-Bernstein formulas are improved by taking into account the multipole expansion coefficients and the non asymptotic part of the potential curve.
Dalgarno A. +5 more
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Applied Sciences, 2018 Mathematical analysis of the well known model of a piezoelectric energy harvester is presented. The harvester is designed as a cantilever Timoshenko beam with piezoelectric layers attached to its top and bottom faces.
Marianna A. Shubov
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Semiclassical Analysis of the Wigner $9J$-Symbol with Small and Large Angular Momenta
, 2011 We derive a new asymptotic formula for the Wigner $9j$-symbol, in the limit of one small and eight large angular momenta, using a novel gauge-invariant factorization for the asymptotic solution of a set of coupled wave equations.
A. F. Nikiforov +10 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
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