Some inequalities for entire functions

Some inequalities in connection to relative orders of entire functions of several complex variables

Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.

Inequalities for Entire Functions of Exponential Type

This paper is concerned with a class of linear operators acting in the space of the trigonometric polynomials and preserving the inequalities of the form \S(8)\ < \T(8)\ in the half plane Im 8 > 0. Some inequalities for entire functions of exponential type and some theorems concerning the distribution of the zeros of the trigonometric polynomials, including an analogue to the Gauss-Lucas theore...

Asymptotics of Zeros for Some Entire Functions

We study the asymptotics of zeros for entire functions of the form sin z+ ∫ 1 −1 f(t)e dt with f belonging to a space X →֒ L1(−1, 1) possessing some minimal regularity properties.

Some Inequalities for Reliability Functions

Weighted Markov–bernstein Inequalities for Entire Functions of Exponential Type

We prove weighted Markov–Bernstein inequalities of the form