The value-distribution of random entire functions

Distribution of Normalized Zero-Sets of Random Entire Functions with Small Random Perturbation

In this paper, we extend our earlier result (see [Y2008]) on the distribution of normalized zero-sets of random entire functions to random entire functions with small random perturbation.

On the Distribution of Zeros of Entire Functions

Let f(z) be any transcendental entire function. Let r, denote the absolute value of the zero z. of f '(z) which is nearest to the origin. Alander, Erdö's and Renyi, and Polya have investigated the relation between r, and the growth of the function /(z). Let s, denote the ... fz largest disk about the origin where / (z) is univalent. Boas, Levinson, and Polya have obtained some relations between...

Level Sets and the Distribution of Zeros of Entire Functions

The purpose of this paper is to investigate the connection between the level set structure of a certain class of even, real entire functions f and the distribution of zeros of some functions formed from f . In particular it is shown that for all nonzero real numbers t, the entire functions f(z + t)± f(z − t) have infinitely many zeros on the imaginary axis.

Growth analysis of entire functions of two complex variables

In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

Random Distribution Functions