Question

Explain the term entire function.

Answer 1

Definition of Entire Function:

1. Entire Functions are related to the field of complex analysis, which is also called Integral Function.
2. An entire function is a complex-valued function that is a complex differential in a neighborhood of each point in a domain in a complex coordinate space, also known as holomorphic on the whole complex plane.
3. Every entire function can be represented as a power series.

Examples of Entire Function:

Polynomials and Exponential Functions are the entire functions as they are holomorphic on the whole complex plane.