Abstract For a given polynomial P with simple zeros, and semiclassical weight w , we present construction that yields linear second-order differential equation (ODE), in consequence, an electrostatic model for zeros of . The coefficients this ODE are written terms dual call the partner This is absolutely general can be carried out any on complex plane. An additional assumption quasi-orthogonali...

A microfluidic sensor based on a microstrip line loaded with composite resonator is reported in this paper. The combines shunt connected step impedance (SIR) and complementary split ring CSRR) etched the ground plane. By etching CSRR beneath patch of SIR, CSRR-loaded SIR exhibits two transmission zeros pole between. operating principle variation coefficient at frequency bare resonator, when mat...

As automorphic L-functions or Artin L-functions, several classes of Lfunctions have Euler products and functional equations. In this paper we study the zeros of L-functions which have the Euler products and functional equations. We show that there exists some relation between the zeros of the Riemann zetafunction and the zeros of such L-functions. As a special case of our results, we find the r...

The cylindrical Bessel differential equation and the spherical Bessel differential equation in the interval [Formula: see text] with Neumann boundary conditions are considered. The eigenfunctions are linear combinations of the Bessel function [Formula: see text] or linear combinations of the spherical Bessel functions [Formula: see text]. The orthogonality relations with analytical expressions ...

This paper introduces a simple and robust technique for vibration control in smart structures with collocated sensors and actuators. The technique is called Integral Resonant Control (IRC). We show that by adding a direct feed-through to a collocated system, the transfer function can be modified from containing resonant poles followed by interlaced zeros, to zeros followed by interlaced poles. ...

A 2×2 clocked buffered switch is a device used in data-processing networks for routing messages from one node to another. The message handling process of this switch can be modelled as a two-server, time slotted, queueing process with state space the number of messages (xn, yn) present at the servers at the end of a time slot. The (xn, yn)-process is a two-dimensional nearest-neighbour random w...

We study the asymptotic behaviour of the bounded solutions of a hyperbolic conservation law with source term @ t u(x; t) + @ x f (u(x; t)) = g(u(x; t)); x 2 IR;t 0: where the ux f is convex and the source term g has simple zeros. We assume that the initial value coincides outside a compact set with an initial value of Riemann type. We prove that the solutions converge in general to a sequence o...

which is easily established, first for R > ( ) s 1 by combining terms in the convergent Dirichlet series, and then by using analytic continuation to extend the result to the entire s -plane (see Theorem 13.11 in [1]). The factor ( ) 1 2 − −s has a simple zero at s = 1 that cancels the pole of ζ ( ) s , so (1) shows that ζ ( ) s is an entire function of s and that it vanishes at each zero of the...

The Eneström-Kakeya theorem (the absolute value of any zero of a0+a1x+· · ·+akx, ai ∈ R is at most max( a0 a1 , a1 a2 , . . . , ak−1 ak ) ) implies |νj| ≤ k . It was shown by Szegö [8] that the numbers νj k cluster around the simple closed curve Γ = {z : |ze1−z| = 1, |z| ≤ 1} as k → ∞ and conversely each point of the Szegö curve is a limit point of the normalized zeros. Moreover Szegö [8] and a...

Four simple but realistic patterns of quark mass matrices are derived from orbifold models of superstring theory in the absence of gauge symmetries. Two of them correspond to the Ramond-Roberts-Ross types, which have five texture zeros in up and down quark sectors. The other two, with four texture zeros, preserve the structural parallelism between up and down sectors. The phenomenological conse...