We prove a Lipschitz type summation formula with periodic coefficients. Using this formula, representations of the values at positive integers of Dirichlet L-functions with periodic coefficients are obtained in terms of Bernoulli numbers and certain sums involving essentially the discrete Fourier transform...
MATRICES (Mathematics)In this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summations of bi-periodic Fibonacci matrix sequence. After, we say that some behavio...
Our theory is based on the identification of families of isometric orbits. The coherent periodic-orbit sums within these families, and the summation over all families are performed analytically using advanced combinatorial methods. 展开 关键词: Theoretical or Mathematical/ Anderson model chaos localised ...
摘要: A. V. Efimov, "Linear methods of approximating certain classes of continuous periodic functions", Collection of articles on linear methods of summation of Fourier series, Trudy Mat. Inst. Steklov., 62, Acad. Sci. USSR, Moscow, 1961, 3–47...
mathematicsNon-linear stability of periodic travelling wave solutions to the Schrödinger and the modified Korteweg-de Vries equations - Angulo () Citation Context ...gration and by choosing the integration constant being zero we have that ϕc needs to satisfy the nonlinear differential equation ...
A previously unstudied optimization problem concerning the summation of elements of numerical sequences and of respective lengths N and q <= N is considere... Kel'manov, A. V.Mikhailova, L. V.Ruzankin, P. S.Khamidullin, S. A. - 《Computational Mathematics & Mathematical Physics》 被引量...
High-Order Compact-Stencil Summation-By-Parts Operators for the Compressible Navier-Stokes Equations A general framework is presented for deriving minimum-stencil high-order summation- by-parts finite-difference operators for the second derivative with variable coefficients, for orders of accuracy 3rd thro...
O. V. Polyakov, “Inequalities for upper bounds of seminorms of the class W r H ω ” in: Approximation of Functions and Summation of Series [in Russian], Dnepropetrovsk University, Dnepropetrovsk (1991), pp. 51–55. About this Article Title On inequalities for seminorms of certain clas...
,(im,i1,⟨gm⟩)⟩ must have ∑igi=0, and the summation of the values of gi for all paths in a positive periodic graph is positive. We know that a positive periodic graph does not contain a cycle. Definition 6 (Weight-Transit Periodic Graph) Let G=(V,E,w) be a static ...
5. O. Costin, On Borel summation and Stokes phenomena for rank one nonlinear systems of ODE's, Duke Math. J. 93:289–344 (1998). O. Costin, R. D. Costin, and J. Lebowitz, Transition to the continuum of a particle in time-periodic potentials, in Advances in Differential Equations an...