It forms an important statement in the study of entire functions.

The class of entire functions is closed with respect to compositions.

The second condition implies that f is an entire function of x.

Let be the set of entire functions f with finite norm.

Results involving entire functions include the following, as examples.

"My entire function was to ensure that the rules and regulations about closing down a foundation were followed," he said.

It can never define an entire function, because the infinite product does not converge.

The sine and cosine defined by this are entire functions.

If f is an entire function, it can be represented by its Taylor series about 0:

Indeed, there exist entire functions whose escaping sets do not contain any curves at all.

As mentioned above, there are examples of entire functions whose escaping set contains no curves.

Because we have two points, we can draw the entire function , see diagram 3.

In a sunset review the entire function is eliminated unless evidence is provided of program effectiveness.

Liouville's theorem states that any bounded entire function must be constant.

Entire function - A function which is differentiable for every possible complex input.

The exponential function extends to an entire function on the complex plane.

That was its entire function, accomplished by a small radio transmitter, four antennas and a few days' worth of batteries.

The following properties are known to hold for the escaping set of any non-constant and non-linear entire function.

The proof uses a type of Hilbert spaces of entire functions.

In general, the transfer (step) function f(x) needs not be an entire function.

This differs from C, where the local variable is only in scope from its declaration, not for the entire function.

Similarly, an entire function that does not hit a particular value will hit every other value an infinite number of times.

If the coefficient at the highest derivative is constant, then all solutions of such equations are entire functions.

The escaping set occurs implicitly in his study of the explicit entire functions and .

An entire function satisfying a particular inequality is called a de Branges function.