Generic properties of Padé approximants and Padé universal series

Frobenius-Padé approximants for d-orthogonal series: theory and computational aspects

This work is about Frobenius-Padé approximants for series of orthogonal polynomials of dimension d (d ∈ N). Concerning to the series, we give the projection property of partial sums, we show how to compute their coe cients, and how to get the coe cients of the product of a series by a polynomial. Concerning to the approximants we work essentially about their recursive computation. Also, we give...

On nonstandard Padé approximants suitable for effective properties of two-phase composite materials

Solving Nonlinear Boundary Value Problems Using He's Polynomials and Padé Approximants

Integral Representations for Padé-type Operators

The main purpose of this paper is to consider an explicit form of the Padé-type operators. To do so, we consider the representation of Padétype approximants to the Fourier series of the harmonic functions in the open disk and of the L-functions on the circle by means of integral formulas, and, then we define the corresponding Padé-type operators. We are also concerned with the properties of the...

Improvement of the method of diagonal Padé approximants for perturbative series in gauge theories

Recently it has been pointed out that diagonal Padé approximants to truncated perturbative series in gauge theories have the remarkable property of being independent of the choice of the renormalization scale as long as the gauge coupling parameter α(p2) is taken to evolve according to the one-loop renormalization group equation – i.e., in the large-β0 approximation. In this letter we propose a...