Hyperbolic components of polynomials with a fixed critical point of maximal order
Hyperbolic components of the complex exponential family
We describe the structure of the hyperbolic components of the parameter plane of the complex exponential family, as started in [1]. More precisely, we label each component with a parameter plane kneading sequence, and we prove the existence of a hyperbolic component for any given such sequence. We also compare these sequences with the more commonly used dynamical kneading sequences.
Hyper-order and order of meromorphic functions sharing functions
In this paper we mainly estimate the hyper-order of an entire function which shares one function with its derivatives. Some examples are given to show that the conclusions are meaningful.
Hypertranscendency of conjugacies in complex dynamics.
Immediate and Virtual Basins of Newton’s Method for Entire Functions
We investigate the well known Newton method to find roots of entire holomorphic functions. Our main result is that the immediate basin of attraction for every root is simply connected and unbounded. We also introduce “virtual immediate basins” in which the dynamics converges to infinity; we prove that these are simply connected as well.
Inclusion and differentiability criteria for Lp-classes of infinitely differentiable functions.
Indépendance linéaire des valeurs des solutions transcendantes de certaines équations fonctionnelles II
Independence of time and position for a random walk.
Indice d'un opérateur différentiel
Induced hyperbolicity for one-dimensional maps.
Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions
MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and on its compact subsets are obtained. We also prove an asymptotic formula for the case of "large" values of the indices of these functions. Similar results have also been obtained by the author for the classical Bessel functions and their Wright's...
Inequalities arising out of the value distribution of a differential monomial.
Inequalities for entire functions of finite degree and for polynomials.
Inequalities for Polynomials with a Prescribed Zero.
Inequalities for zeros of entire functions.
Infinitely many asymptotic values of locally univalent meromorphic functions.
Inner composition of analytic mappings on the unit disk.
Integral Means and Radial Growth of Bloch Functions.
Integral representation of a solution of Heun's general equation.
Integro-differential-difference equations associated with the Dunkl operator and entire functions
In this work we consider the Dunkl operator on the complex plane, defined by We define a convolution product associated with denoted and we study the integro-differential-difference equations of the type , where is a sequence of complex numbers and is a measure over the real line. We show that many of these equations provide representations for particular classes of entire functions of exponential type.