The hadronic vacuum polarization contribution to the muon (g − 2) value is calculated by considering a known dispersion integral which involves the Re+e−(s) ratio. The theoretical part stemming from the region below 1.8 GeV is the largest contribution in our approach, and is calculated by using a contour integral involving the associated Adler function D(Q2). In the resummations, we explicitly ...

in this paper, we use the parametric form of fuzzy numbers, and aniterative approach for obtaining approximate solution for a classof fuzzy nonlinear fredholm integral equations of the second kindis proposed. this paper presents a method based on newton-cotesmethods with positive coefficient. then we obtain approximatesolution of the fuzzy nonlinear integral equations by an iterativeapproach.

We introduce a new method for computing eigenvalues of the Maxwell operator with boundary finite elements. On bounded domains with piecewise constant material coefficients, the Maxwell solution for fixed wave number can be represented by boundary integrals, which allows to reduce the eigenvalue problem to a nonlinear problem for determining the wave number along with boundary and interface trac...

Meshless methods based on the local Petrov-Galerkin approach are proposed for solution of steady and transient heat conduction problem in a continuously nonhomogeneous anisotropic medium. Fundamental solution of the governing partial differential equations and the Heaviside step function are used as the test functions in the local weak form. It is leading to derive local boundary integral equat...

Composite materials utilizing the sandwich structure are a basic family of materials and possess a highly increasing use in modern industrial applications. Since the traditional approach to structural design and material selection tends to be replaced by the Fracture mechanics approach, it is worth understanding the way that the Fracture mechanics approach is applied. The traditional approach t...

Infinite order differential equations have come to play an increasingly significant role in theoretical physics. Field theories with infinitely many derivatives are ubiquitous in string field theory and have attracted interest recently also from cosmologists. Crucial to any application is a firm understanding of the mathematical structure of infinite order partial differential equations. In our...

The contour-integral based eigensolvers are the recent efforts for computing the eigenvalues inside a given region in the complex plane. The best-known members are the Sakurai-Sugiura (SS) method, its stable version CIRR, and the FEAST algorithm. An attractive computational advantage of these methods is that they are easily parallelizable. The FEAST algorithm was developed for the generalized H...

We construct new families of (q-) difference and (contour) integral operators having nice actions on Koornwinder’s multivariate orthogonal polynomials. We further show that the Koornwinder polynomials can be constructed by suitable sequences of these operators applied to the constant polynomial 1, giving the difference-integral representation of the title. Macdonald’s conjectures (as proved by ...

Hurwitz formula for the generalized zeta function zeta (s,a) has been established under condition Re(s) = sigma < 0. Using the same contour integral, the proof proposed ill this paper allows the extension of this formula into the critical strip, 0 = a < 1. A similar result is obtained for the related function (1/Gamma (s)) integral (infinity)(0) x(s-1)(e(ax)/(1 + e(-x)))dx, 0 < a < 1.