Using the technique of Padé Approximants for the correlation contributions of charged particles we are able to reproduce complex mathematical expressions by simple algebraic formulas. The Padé formulas are analytical expressions, which interpolate between certain density-temperature regions and are characterized by exact asymptotics. We present a semi-relativistic description of the thermodynam...

Padé approximants (PA) are constructed from the perturbative coefficients of the free energy through O(g5) in hot QCD. PA is shown to reduce the renormalization-scale dependence substantially even at temperature (T ) as low as 250 MeV. Also, Padé summation predicts that the free energy does not deviate more than 10 % from the Stefan-Boltsman limit for T > 250 MeV. PACS numbers: 12.38Cy, 12.38.M...

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...

It is possible to generalize the fruitful interaction between (real or complex) Jacobi matrices, orthogonal polynomials and Padé approximants at infinity by considering rational interpolants, (bi-)orthogonal rational functions and linear pencils zB − A of two tridiagonal matrices A, B, following Spiridonov and Zhedanov. In the present paper, beside revisiting the underlying generalized Favard t...

Using sequence transformation and extrapolation algorithms for the prediction of further sequence elements from a finite number of known sequence elements is a topic of growing importance in applied mathematics. For a short introduction, see the book of Brezinski and Redivo Zaglia 1, Section 6.8 . We mention theoretical work on prediction properties of Padé approximants and related algorithms l...