an infinitely long hollow cylinder containing isotropic linear elastic material is considered under the effect of arbitrary boundary stress and thermal condition. the two-dimensional coupled thermoelastodynamic pdes are specified based on equations of motion and energy equation, which are uncoupled using nowacki potential functions. the laplace integral transform and bessel-fourier series are u...

Conformal deformations of hyperbolic surfaces with conical singularities are shown to be real-analytic. The first nontrivial term in the power series expansion around a cusped surface is shown to be a multiple of the Eisenstein series E2.

In this paper we introduce some new subclasses of the class σ of bi-univalent functions and obtain bounds for the initial coefficients of the Taylor series expansion of functions from the considered classes.

Using binomial coefficients a general series expansion formula is established for the integral

In this study, differential transform method (DTM) is applied to fuzzy integro-differential equation. The concept of generalized Hdifferentiability is used. If the equation has a solution in terms of the series expansion of known functions; this powerful method catches the exact solution. Some numerical examples are also given to illustrate the superiority of the method. All rights reserved.

The univariate theorem deals with the case of simple poles as well as with the case t multiple poles. The former means that we have information on the denominator of th meromorphic function while the latter means that we also have information on the derivative ef that denominator. Up to now w-e o+ ,...; prtivcd a multivariate analogon of the univariate d Montessus dc Baiiore theorem for the cas...

The validity of a series expansion proposed previously @T. H. Jensen and M. S. Chu, Phys. Fluids 27, 2881 ~1984!# for describing general Taylor configurations of magnetized plasmas has been reexamined because an apparent paradox was realized. From analyses of simple cases which can be dealt with mostly analytically, it is concluded that the paradox is a Gibbs phenomenon, and that the series exp...

We derive a series expansion for the multiparameter fractional Brownian motion. The derived expansion is proven to be rate optimal .

The problem to decide whether a given multivariate (quasi-)rational function has only positive coefficients in its power series expansion has a long history. It dates back to Szegö [10], who showed that ((1−Z1)(1−Z2) + (1−Z1)(1−Z3) + (1−Z2)(1−Z3)) for β ≥ 1/2 is positive, in the sense that all its series coefficients are positive, using an involved theory of special functions. In contrast to th...