Padé approximations appear to be a powerful tool to extend the validity range of expansions around certain kinematical limits and to combine expansions of different limits to a single interpolating function. After a brief outline of the general method, we will review a number of recent applications and describe the modifications that have to be applied in each case. Among these applications are...

Many dynamic systems and industrial control processes can be represented by a multirate sampled-data uncertain system, which consists of a continuous-time uncertain subsystem and a multirate discrete-time uncertain subsystem. The uncertainties in these systems arise from unmodeled dynamics, parameter uariations, sensor noises, actuator constraints, etc. As is the common practice the sampled-dat...

In 1961, Baker, Gammel and Wills conjectured that for functions f meromorphic in the unit ball, a subsequence of its diagonal Padé approximants converges uniformly in compact subsets of the ball omitting poles of f . There is also apparently a cruder version of the conjecture due to Padé himself, going back to the early twentieth century. We show here that for carefully chosen q on the unit cir...

Article history: Received 9 July 2010 Received in revised form 1 October 2010 Accepted 4 October 2010 Available online 12 October 2010

This paper is an articulatory and acoustical analysis of the syllable-initial sibilants and approximant in Beijing Mandarin. Palatograms and linguagrams were obtained from young adult native speakers of Beijing, male and female, using the direct method. Results show that the initial consonants which are transcribed in earlier studies [3, 4, 10] as retroflexes [§, t§, 1⁄2( ̈)] are in fact apical ...

The divergent Rayleigh-Schrr odinger perturbation expansions for energy eigenvalues of cubic, quartic, sextic and octic oscillators are summed using algebraic approximants. These approximants are generalized Pad e approximants that are obtained from an algebraic equation of arbitrary degree. Numerical results indicate that given enough terms in the asymptotic expansion the rate of convergence o...