Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series III).
Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series III). (Summary).
Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series I). (Summary).
Convergence of Padé approximations for a q-hypergeometric series (Wynn's Power Series I).
Convergence of Product Formulas for the Numerical Evaluation of Certain Two-Dimensional Cauchy Principal Value Integrals.
Convergence of rational interpolants.
Convergence of Taylor series in Fock spaces
It is well known that the Taylor series of every function in the Fock space converges in norm when 1 < p < ∞. It is also known that this is no longer true when p = 1. In this note we consider the case 0 < p < 1 and show that the Taylor series of functions in do not necessarily converge “in norm”.
Convergence of vectorial continued fractions related to the spectral seminorm.
Convergence Proofs and Error Estimates for an Iterative Method for Conformal Mapping.
Convex and starlike criteria.
Convex and starlike functions
Convex bodies of constant width and the Apollonian metric.
Convex combination of analytic functions
Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Convex dynamics in Hele-Shaw cells.
Convex functions and the rolling circle criterion.
Convex functions in a half-plane.
Convex functions in a half-plane. II.
Convex hulls of polyominoes.
Convex integration and the theory of elliptic equations
This paper deals with the theory of linear elliptic partial differential equations with bounded measurable coefficients. We construct in two dimensions examples of weak and so-called very weak solutions, with critical integrability properties, both to isotropic equations and to equations in non-divergence form. These examples show that the general theory, developed in [1, 24] and [2], cannot be extended under any restriction on the essential range of the coefficients. Our constructions are based...
Convex meromorphic mappings
We study functions f(z) which are meromorphic and univalent in the unit disk with a simple pole at z = p, 0 < p < 1, and which map the unit disk onto a domain whose complement is either convex or is starlike with respect to a point w₀ ≠ 0.