## 88 Citations

### The Jentzsch-Szegő Theorem and Balayage Measures

- MathematicsConstructive Approximation
- 2014

The numerous generalizations of the Jentzsch-Szegő theorem on the location of zeros of Taylor polynomials have been based so far on the extremal properties satisfied by the corresponding…

### Zero distribution of incomplete Padé and Hermite-Padé approximations

- MathematicsJ. Approx. Theory
- 2016

### The Polynomials of Mahler and Roots of Unity

- MathematicsAm. Math. Mon.
- 2015

It is shown that the derivatives of the polynomials of Mahler have all their zeros inside the unit circle.

### Zeros of Sections of Power Series: Deterministic and Random

- Mathematics
- 2015

We present a streamlined proof (and some refinements) of a characterization (due to F. Carlson and G. Bourion, and also to P. Erdős and H. Fried) of the so-called Szegő power series. This…

### Distribution of algebraic numbers

- Mathematics
- 2011

Abstract Schur studied limits of the arithmetic means An of zeros for polynomials of degree n with integer coefficients and simple zeros in the closed unit disk. If the leading coefficients are…

### Hausdorff-Summability of Power Series - the Distribution of Zeros of Hausdorff-Transforms

- Philosophy, Mathematics
- 1993

It is supposed that the order of Η (χ) is ρ = 1, i.e. we have ρ := inf{x(r) = 1 for / < τ < 1} = 1. In this paper we investigate the distribution of the zeros of the polynomials σ„. For an R, > 0 we…

### A Jentzsch-Theorem for Kapteyn, Neumann and General Dirichlet Series

- MathematicsComputational Methods and Function Theory
- 2022

Comparing phase plots of truncated series solutions of Kepler’s equation by Lagrange’s power series with those by Bessel’s Kapteyn series strongly suggests that a Jentzsch-type theorem holds true not…

### Non-normality, topological transitivity and expanding families

- MathematicsMathematical Proceedings of the Cambridge Philosophical Society
- 2021

Abstract We investigate the behaviour of families of meromorphic functions in the neighbourhood of points of non-normality and prove certain covering properties that complement Montel’s Theorem. In…