Results 11 to 20 of about 131,766 (286)
On the Basis Property of the Root Functions of Some Class of Non-self-adjoint Sturm--Liouville Operators [PDF]
, 2013 We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators with some regular boundary conditions. Using these formulas, we find sufficient conditions on the potential q such that the root functions of these ...
Nur, Cemile, Veliev, O. A.
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Exact and asymtotic formulas for overdamped Brownian dynamics [PDF]
, 1996 Exact and asymptotic formulas relating to dynamical correlations for overdamped Brownian motion are obtained. These formulas include a generalization of the $f$-sum rule from the theory of quantum fluids, a formula relating the static current-current ...
B. Jancovici +17 more
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Journal of Number Theory, 1989 Let \(R_ 0,R_ 1,R_ 2,..\). be a nondegenerate binary linear recurrence of integers defined by \(R_ n=AR_{n-1}+BR_{n-2}\) \((n>1)\), where \(R_ 0\), \(R_ 1=1,and\) A, B are fixed nonzero integers. It is proved that \[ \sqrt{\frac{6\cdot \log | R_ 1\cdot R_ 2\cdot \cdot \cdot R_ N|}{\log [R_ 1,R_ 2,...,R_ N]}}\quad =\quad \pi +O(\frac{1}{\log N}) \] for ...
Kiss, Péter, Mátyás, Ferenc
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One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums
Journal of Mathematics, 2021 The main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting
Xiaoxue Li, Li Chen
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On the square-free number sequence [PDF]
, 2005 The main purpose of this paper is to study the number of the square-free number sequence, and give two interesting asymptotic formulas for it.
Dongmei, Ren
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Asymptotic Formulas for Toeplitz Determinants [PDF]
Transactions of the American Mathematical Society, 1978 The object of this paper is to find an asymptotic formula for determinants of finite dimensional Toeplitz operators generated by a class of functions with singularities. The formula is a generalization of the Strong Szegö Limit Theorem.
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Asymptotic formulas for stacks and unimodal sequences [PDF]
, 2013 We study enumeration functions for unimodal sequences of positive integers, where the size of a sequence is the sum of its terms. We survey known results for a number of natural variants of unimodal sequences, including Auluck's generalized Ferrer ...
Bringmann, Kathrin, Mahlburg, Karl
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Asymptotic Variational Formulae for Eigenvalues [PDF]
Canadian Mathematical Bulletin, 1963 The eigenvalues of a second order self-adjoint elliptic differential operator on Riemannian n-space R will be considered. Our purpose is to obtain asymptotic variational formulae for the eigenvalues under the topological deformations of (i) removing an ɛ -cell (and adjoining an
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Combining kernel estimators in the uniform deconvolution problem [PDF]
, 2010 We construct a density estimator and an estimator of the distribution function in the uniform deconvolution model. The estimators are based on inversion formulas and kernel estimators of the density of the observations and its derivative.
van Es, Bert
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On the Differential Operators with Periodic Matrix Coefficients
Abstract and Applied Analysis, 2009 We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and quasiperiodic boundary
O. A. Veliev
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