Complex dynamics of iterated entire holomorphic functions is an active and exciting area of
research. This manuscript collects known background in this field and describes several of …

We give a complete classification of the set of parameters $\kappa $ for which the singular
value of $ E_ {\kappa}: z\mapsto\exp (z)+\kappa $ escapes to $\infty $ under iteration. In …

This article investigates the parameter space of the exponential family z↦\exp(z)+κ. We
prove that the boundary (in ℂ) of every hyperbolic component is a Jordan arc, as …

We investigate the set I of parameters κ∈ ℂ for which the singular orbit (0, eκ,…) of Eκ (z):=
exp (z+ κ) converges to. These parameters are organized in curves in parameter space …

We study perturbations of non-recurrent parameters in the exponential family. It is shown
that the set of such parameters has Lebesgue measure zero. This particularly implies that …

It is proved in this paper that the union of esca** parameter rays without endpoints for the
cosine family Sκ (z)= eκ (ez+ e− z), where κ∈ C is a parameter, has Hausdorff dimension 1 …

Sažetak In this paper, we define the directional edge esca** points set of function iteration
under a given plane partition and then prove that the upper bound of Hausdorff dimension of …

The esca** set is the important object studied in dynamics of transcendental entire
functions. As exponential function is the most typical transcendental entire function, its …

In this paper, we define the directional edge esca** points set of function iteration under a
given plane partition and then prove that the upper bound of Hausdorff dimension of the …

1. Introduction Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. 22, No. 6, pp. 1451–1462,
December 2018 DOI: 10.11650/tjm/180304 Hausdorff Measure of the Esca** Parameter …