Asymptotic behavior for the best lower bound of Jensen's functional
Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc.
Asymptotic behavior of the sectional curvature of the Bergman metric for annuli
We extend and simplify results of [Din 2010] where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied. Similarly to [Din 2010] the description enables us to construct an infinitely connected planar domain (in our paper it is a Zalcman type domain) for which the supremum of the holomorphic sectional curvature is two, whereas its infimum is equal to -∞ .
Asymptotic behaviors of complex analytic dynamical systems.
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals.
Asymptotic Behaviour of some Complex Sequences
Asymptotic behaviour of some infinite products involvingprime numbers
Asymptotic distribution and symmetric means of algebraic numbers
Schur introduced the problem on the smallest limit point for the arithmetic means of totally positive conjugate algebraic integers. This area was developed further by Siegel, Smyth and others. We consider several generalizations of the problem that include questions on the smallest limit points of symmetric means. The key tool used in the study is the asymptotic distribution of algebraic numbers understood via the weak* limits of their counting measures. We establish interesting properties of the...
Asymptotic estimates and properties of univalent functions with quasiconformal continuation.
Asymptotic estimates for some number-theoretic power series
Asymptotic estimates for the coefficients of bounded univalent functions.
Asymptotic estimates for the growth of meromorphic solutions to differential equations in angular domains.
Asymptotic expansions of quasiperiodic solutions
Asymptotic FitzGerald inequalities.
Asymptotic growth of Cauchy transforms.
Asymptotic maximum principle.
Asymptotic stability for sets of polynomials
We introduce the concept of asymptotic stability for a set of complex functions analytic around the origin, implicitly contained in an earlier paper of the first mentioned author (“Finite group actions and asymptotic expansion of ", Combinatorica 17 (1997), 523 – 554). As a consequence of our main result we find that the collection of entire functions with the set of all real polynomials satisfying Hayman’s condition is asymptotically stable. This answers a question raised in loc. cit.
Asymptotic tracts of harmonic functions. III.
Asymptotic values and the growth of analytic functions in spiral domains.
In this note we present a simple proof of a theorem of Hornblower which characterizes those functions analytic in the open unit disk having asymptotic values at a dense set in the boundary. Our method is based on a kind of ∂-mollification and may be of use in other problems as well.
Asymptotic values for uniformly convergent sequences of functions