Canonical Products and Convergence of Entire Functions

Abstract

In this chapter, we   discuss Canonical products of entire functions, Jensen’s formula, Poisson–Jensen formula, growth, order and exponent of convergence of entire functions, Hadamard’s three-circle theorem, Borel’s theorem, and Hadamard’s factorization theorem.

Mathematics is the science of what is clear by itself

Carl Gustav Jacob Jacobi

If people do not believe that mathematics is simple,

it only because they do not realize how complicated

life is

John von Neumann

A mathematician is one whom the $\Big [{referring~to}$

$\int _0^{\infty } e^{-x^2} dx = \frac{\sqrt{\pi }}{2}\Big ]$ is as obvious as twice two makes

four is to you

Lord Kelvin