On rational approximation in a ball in .
On the analogue of the division polynomials for hyperelliptic curves.
On the binary expansion of irrational algebraic numbers
On the continued fractions of quadratic surds
On the convergence of multivariate Padé approximants.
On the differences of simultaneous rational interpolants
On the Zeros and Poles of Pade Approximants to ez III .
On Uniform Convergence of rational, Newton-Padé Interpolants of Type (n, n) with Free Poles as n.....
Open problems in constructive function theory.
Padé and Hermite-Padé approximation and orthogonality.
Padé approximations to certain power series.
Padé-Type Approximants of Exp (-z) Whose Denominators Are (1+z/n)n.
Power Series Equivalent to Rational Functions: A Shifting-Origin Kronecker Type Theorem, and Normality of Padé Tables.
Quadrature formulas for rational functions.
Rational interpolants with preassigned poles, theoretical aspects
Let ⨍ be an analytic function on a compact subset K of the complex plane ℂ, and let denote the rational function of degree n with poles at the points and interpolating ⨍ at the points . We investigate how these points should be chosen to guarantee the convergence of to ⨍ as n → ∞ for all functions ⨍ analytic on K. When K has no “holes” (see [8] and [3]), it is possible to choose the poles without limit points on K. In this paper we study the case of general compact sets K, when such a separation...
Rational interpolation: analytical solution.
Some aspects of simultaneous rational approximation
Sur la représentation approchée d'une fonction par des fractions rationnelles
Sur l'accélération de la convergence de certaines fractions continues
The e-Algorithm and Multivariate Pade-Approximants