This is a brief survey of the main results of the theory of elliptic hypergeometric functions--a
new class of special functions of mathematical physics. A proof is given of the most general …

We present a method in which the Padé approximant is used to calculate the asymptotic
behavior of a function from the first few terms of its power series. We illustrate this method by …

With the aim of providing new algorithmic tools for assuring good, global convergence
properties for methods solving convex programming problems, we present some results and …

A new construction is given for approximating a logarithmic potential by a discrete one. This
yields a new approach to approximation with weighted polynomials of the form w" n"("" …

This paper is devoted to a study of S-curves, that is systems of curves in the complex plane
whose equilibrium potential in a harmonic external field satisfies a special symmetry …

A technique derived from two related methods suggested earlier by some of the authors for
optimization of finite-difference grids and absorbing boundary conditions is applied to …

Let f be an analytic function with all its singularities in a compact set E_f ⊂ ̄ C of
(logarithmic) capacity zero. The function may have branch points. The convergence of …

Many problems in approximation theory can be connected with the problem of
approximating the function Ixl a on a set having the origin as an inner point. One of the main …

Let f be a germ of an analytic function at infinity that can be analytically continued along any
path in the complex plane deprived of a finite set of points, f∈ A (C¯\A),# A<∞. J. Nuttall has …

Peakons are special weak solutions of a class of nonlinear partial differential equations
modelling non-linear phenomena such as the breakdown of regularity and the onset of …