integral function

If a complex function is analytic at all finite points of the complex plane C, then it is said to be entire, sometimes also called "integral". Any polynomial a_n z^n + a_(n - 1) z^(n - 1) + ... + a_0 is entire. Examples of specific entire functions are given in the following table.

analytic function | finite order | Hadamard factorization theorem | holomorphic function | Liouville's boundedness theorem | meromorphic function | Weierstrass product theorem