Let {ar : r ∈ Nd} be a d-dimensional array of numbers for which the generating function F (z) := ∑ r arz r is meromorphic in a neighborhood of the origin. For example, F may be a rational multivariate generating function. We discuss recent results that allow the effective computation of asymptotic expansions for the coefficients of F . Our purpose is to illustrate the use of these techniques on...

We study quadratic residue diierence sets, GMW diierence sets, and difference sets arising from monomial hyperovals, all of which are (2 d ?1; 2 d?1 ?1; 2 d?2 ?1) cyclic diierence sets in the multiplicative group of the nite eld F 2 d of 2 d elements, with d 2: We show that, except for a few cases with small d, these diierence sets are all pair-wise inequivalent. This is accomplished in part by...

It is very complicated to calculate the secondorder aberrations of complex analyser systems and mistakes are liable to be made. Even if the matrix method is used the tediousness of the calculation is not altered. The usefulness of the matrix representation comes from the fact that the over-all transfer matrix of the total system is easily written as a product of the transfer matrices of various...

in this paper, the deformation of a thick-walled circular cylindrical shell of incompressible isotropic elastic material is considered. the shell, which is made of three-term strain energy function is subjected to the combined external and axial loading pressure. in order to obtain the relevant eigenvalues, which is the main objective of the work, the incremental equilibrium equations are so...

We evaluate the eigenfields of an unstable Bessel-Gauss resonator (UBGR) by use of the transfer-matrix method in which the transverse profiles and their corresponding losses of the UBGR are considered as the eigenvectors and eigenvalues of a transfer matrix so that the dominant mode fields and their losses of the UBGR can be readily extracted in terms of the matrix eigenvalue algorithm. Moreove...

in this article we study steensen method to solve nonlinear matrix equation x+a^t x^(-1) a=q, when a is a normal matrix. we establish some conditions that generate a sequence of positive de nite matrices which converges to solution of this equation.

In this paper, vibration analysis of multiple-stepped Bernoulli-Euler and Timoshenko beams carrying point masses is presented analytically for various boundary conditions. Each attached element is considered to have both translational and rotational inertias. The method of solution is “transfer matrix method” which is based on the changes in the vibration modes at the vicinity of any discontinu...

A generalized method for determination of transfer functions of circuits with multi-inputs multi-outputs is introduced. The paper proposes a systematic and efficient formulation for generating the transfer matrix containing transfer functions, necessary to model these kinds of circuits. The modified nodal analysis, whose application is simpler than the state-space analysis, is used in obtaining...